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J. Nonlinear Sci.</a> <a href="/?q=in%3A271450" title="Articles in this Issue">10, No. 2, 238-247 (2010)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> <a class="mono" href="/classification/?q=cc%3A35A01" title="Existence problems for PDEs: global existence, local existence, non-existence">35A01</a> <a class="mono" href="/classification/?q=cc%3A35A02" title="Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness">35A02</a> <a class="mono" href="/classification/?q=cc%3A35B30" title="Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs">35B30</a> <a class="mono" href="/classification/?q=cc%3A47N20" title="Applications of operator theory to differential and integral equations">47N20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1215.35141" data-ciurl="/ci/05863437" data-biburl="/bibtex/05863437.bib" data-amsurl="/amsrefs/05863437.bib" data-xmlurl="/xml/05863437.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05863437.pdf" title="Zbl 1215.35141 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item2093671" value="2093671" aria-label="mark item Zbl 1057.35053"></div> <div class="author"><a href="/authors/grava.tamara" title="Author Profile">Grava, Tamara</a></div> <h3 class="title"> <a href="/1057.35053"><strong>Whitham equations, Bergman kernel and Lax-Levermore minimizer.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1057.35053">Zbl 1057.35053</a> </h3> <div class="source"> <a href="/serials/965" title="Journal Profile">Acta Appl. Math.</a> <a href="/?q=in%3A107492" title="Articles in this Issue">82, No. 1, 1-86 (2004)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A8981">Dmitry Shepelsky (Kharkov)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> <a class="mono" href="/classification/?q=cc%3A35Q05" title="Euler-Poisson-Darboux equations">35Q05</a> <a class="mono" href="/classification/?q=cc%3A37K15" title="Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems">37K15</a> <a class="mono" href="/classification/?q=cc%3A35B25" title="Singular perturbations in context of PDEs">35B25</a> <a class="mono" href="/classification/?q=cc%3A34M50" title="Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain">34M50</a> <a class="mono" href="/classification/?q=cc%3A47N20" title="Applications of operator theory to differential and integral equations">47N20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1057.35053" data-ciurl="/ci/02093671" data-biburl="/bibtex/02093671.bib" data-amsurl="/amsrefs/02093671.bib" data-xmlurl="/xml/02093671.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/02093671.pdf" title="Zbl 1057.35053 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1023/B:ACAP.0000026694.42172.8b" aria-label="DOI for “Whitham equations, Bergman kernel and Lax-Levermore minimizer”" title="10.1023/B:ACAP.0000026694.42172.8b">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1530126" value="1530126" aria-label="mark item Zbl 0961.35141"></div> <div class="author"><a href="/authors/du.xianyun" title="Author Profile">Du, Xianyun</a>; <a href="/authors/dai.zhengde" title="Author Profile">Dai, Zhengde</a></div> <h3 class="title"> <a href="/0961.35141"><strong>Attractor for Cauchy problem of dissiptive KdV type equation.</strong></a> <i>(Chinese. English summary)</i> <a class="label nowrap" href="/0961.35141">Zbl 0961.35141</a> </h3> <div class="source"> <a href="/serials/2330" title="Journal Profile">Acta Math. Sci. (Chin. Ed.)</a> <a href="/?q=in%3A67345" title="Articles in this Issue">20, No. 3, 289-295 (2000)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> <a class="mono" href="/classification/?q=cc%3A37L30" title="Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems">37L30</a> <a class="mono" href="/classification/?q=cc%3A35Q55" title="NLS equations (nonlinear Schrödinger equations)">35Q55</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0961.35141" data-ciurl="/ci/01530126" data-biburl="/bibtex/01530126.bib" data-amsurl="/amsrefs/01530126.bib" data-xmlurl="/xml/01530126.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01530126.pdf" title="Zbl 0961.35141 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1284213" value="1284213" aria-label="mark item Zbl 0952.35127"></div> <div class="author"><a href="/authors/bourgain.jean" title="Author Profile">Bourgain, Jean</a></div> <h3 class="title"> <a href="/0952.35127"><strong>Nonlinear Schrödinger equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0952.35127">Zbl 0952.35127</a> </h3> <div class="source"> Caffarelli, Luis (ed.) et al., Hyperbolic equations and frequency interactions. Providence, RI: American Mathematical Society. IAS/ Park City Math. Ser. 5, 3-157 (1999). </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A3783">Horst Lange (Köln)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35Q55" title="NLS equations (nonlinear Schrödinger equations)">35Q55</a> <a class="mono" href="/classification/?q=cc%3A35-02" title="Research exposition (monographs, survey articles) pertaining to partial differential equations">35-02</a> <a class="mono" href="/classification/?q=cc%3A35L40" title="First-order hyperbolic systems">35L40</a> <a class="mono" href="/classification/?q=cc%3A37K55" title="Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems">37K55</a> <a class="mono" href="/classification/?q=cc%3A35B10" title="Periodic solutions to PDEs">35B10</a> <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> <a class="mono" href="/classification/?q=cc%3A35B40" title="Asymptotic behavior of solutions to PDEs">35B40</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0952.35127" data-ciurl="/ci/01284213" data-biburl="/bibtex/01284213.bib" data-amsurl="/amsrefs/01284213.bib" data-xmlurl="/xml/01284213.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01284213.pdf" title="Zbl 0952.35127 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1202440" value="1202440" aria-label="mark item Zbl 0907.35113"></div> <div class="author"><a href="/authors/cadeddu.lucio" title="Author Profile">Cadeddu, L.</a>; <a href="/authors/gramchev.todor-v" title="Author Profile">Gramchev, T.</a></div> <h3 class="title"> <a href="/0907.35113"><strong>Singular asymptotic expansions and delta waves for Burgers’ equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0907.35113">Zbl 0907.35113</a> </h3> <div class="source"> <a href="/serials/595" title="Journal Profile">Monatsh. Math.</a> <a href="/?q=in%3A50018" title="Articles in this Issue">126, No. 2, 91-107 (1998)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> <a class="mono" href="/classification/?q=cc%3A35L67" title="Shocks and singularities for hyperbolic equations">35L67</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0907.35113" data-ciurl="/ci/01202440" data-biburl="/bibtex/01202440.bib" data-amsurl="/amsrefs/01202440.bib" data-xmlurl="/xml/01202440.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01202440.pdf" title="Zbl 0907.35113 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/BF01473580" aria-label="DOI for “Singular asymptotic expansions and delta waves for Burgers' equation”" title="10.1007/BF01473580">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://eudml.org/doc/178826" title="Open Access at EuDML">EuDML</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1190878" value="1190878" aria-label="mark item Zbl 0906.35092"></div> <div class="author"><a href="/authors/joshi.nalini" title="Author Profile">Joshi, Nalini</a>; <a href="/authors/srinivasan.gopala-krishna" title="Author Profile">Srinivasan, Gopala K.</a></div> <h3 class="title"> <a href="/0906.35092"><strong>The radius of convergence and the well-posedness of the Painlevé expansions of the Korteweg-de Vries equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0906.35092">Zbl 0906.35092</a> </h3> <div class="source"> <a href="/serials/173" title="Journal Profile">Nonlinearity</a> <a href="/?q=in%3A47391" title="Articles in this Issue">10, No. 1, 71-79 (1997)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> <a class="mono" href="/classification/?q=cc%3A35A20" title="Analyticity in context of PDEs">35A20</a> <a class="mono" href="/classification/?q=cc%3A35B30" title="Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs">35B30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0906.35092" data-ciurl="/ci/01190878" data-biburl="/bibtex/01190878.bib" data-amsurl="/amsrefs/01190878.bib" data-xmlurl="/xml/01190878.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01190878.pdf" title="Zbl 0906.35092 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1088/0951-7715/10/1/005" aria-label="DOI for “The radius of convergence and the well-posedness of the Painlevé expansions of the Korteweg-de Vries equation”" title="10.1088/0951-7715/10/1/005">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/solv-int/9607007"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item936271" value="936271" aria-label="mark item Zbl 0858.35130"></div> <div class="author"><a href="/authors/birnir.bjorn" title="Author Profile">Birnir, Björn</a>; <a href="/authors/ponce.gustavo" title="Author Profile">Ponce, Gustavo</a>; <a href="/authors/svanstedt.nils-e-m" title="Author Profile">Svanstedt, Nils</a></div> <h3 class="title"> <a href="/0858.35130"><strong>The local ill-posedness of the modified KdV equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0858.35130">Zbl 0858.35130</a> </h3> <div class="source"> <a href="/serials/1008" title="Journal Profile">Ann. Inst. Henri Poincaré, Anal. Non Linéaire</a> <a href="/?q=in%3A32899" title="Articles in this Issue">13, No. 4, 529-535 (1996)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35R25" title="Ill-posed problems for PDEs">35R25</a> <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0858.35130" data-ciurl="/ci/00936271" data-biburl="/bibtex/00936271.bib" data-amsurl="/amsrefs/00936271.bib" data-xmlurl="/xml/00936271.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00936271.pdf" title="Zbl 0858.35130 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/S0294-1449(16)30112-3" aria-label="DOI for “The local ill-posedness of the modified KdV equation”" title="10.1016/S0294-1449(16)30112-3">DOI</a> <a class="btn btn-default btn-xs" type="button" href="http://www.numdam.org/item?id=AIHPC_1996__13_4_529_0" title="Open Access at Numdam">Numdam</a> <a class="btn btn-default btn-xs" type="button" href="https://eudml.org/doc/78390" title="Open Access at EuDML">EuDML</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item907332" value="907332" aria-label="mark item Zbl 0850.35100"></div> <div class="author"><a href="/authors/melnikov.v-k" title="Author Profile">Mel’nikov, V. K.</a></div> <h3 class="title"> <a href="/0850.35100"><strong>Integrable and nonintegrable cases of the Lax equations with a source.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0850.35100">Zbl 0850.35100</a> </h3> <div class="source"> <a href="/serials/212" title="Journal Profile">Theor. Math. Phys.</a> <a href="/?q=in%3A29098" title="Articles in this Issue">99, No. 3, 733-737 (1994)</a> and Teor. Mat. Fiz. 99, No. 3, 471-477 (1994). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> <a class="mono" href="/classification/?q=cc%3A37J35" title="Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests">37J35</a> <a class="mono" href="/classification/?q=cc%3A37K10" title="Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)">37K10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0850.35100" data-ciurl="/ci/00907332" data-biburl="/bibtex/00907332.bib" data-amsurl="/amsrefs/00907332.bib" data-xmlurl="/xml/00907332.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00907332.pdf" title="Zbl 0850.35100 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/BF01017060" aria-label="DOI for “Integrable and nonintegrable cases of the Lax equations with a source”" title="10.1007/BF01017060">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item705110" value="705110" aria-label="mark item Zbl 0834.35113"></div> <div class="author"><a href="/authors/egorova.i-e" title="Author Profile">Egorova, I. E.</a></div> <h3 class="title"> <a href="/0834.35113"><strong>The Cauchy problem for the KdV equation with almost periodic initial data whose spectrum is nowhere dense.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0834.35113">Zbl 0834.35113</a> </h3> <div class="source"> Marchenko, V. A. (ed.), Spectral operator theory and related topics. Collection of papers. Providence, RI: American Mathematical Society. Adv. Sov. Math. 19, 181-208 (1994). </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A6654">L.Vazquez (Madrid)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> <a class="mono" href="/classification/?q=cc%3A35B15" title="Almost and pseudo-almost periodic solutions to PDEs">35B15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0834.35113" data-ciurl="/ci/00705110" data-biburl="/bibtex/00705110.bib" data-amsurl="/amsrefs/00705110.bib" data-xmlurl="/xml/00705110.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00705110.pdf" title="Zbl 0834.35113 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1102059" value="1102059" aria-label="mark item Zbl 0890.35130"></div> <div class="author"><a href="/authors/ilin.arlen-mikhailovich" title="Author Profile">Il’in, A. M.</a>; <a href="/authors/kalyakin.leonid-anatolevich" title="Author Profile">Kalyakin, L. A.</a></div> <h3 class="title"> <a href="/0890.35130"><strong>Perturbation of finite-soliton solutions to the Korteweg-de Vries equation.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/0890.35130">Zbl 0890.35130</a> </h3> <div class="source"> <a href="/serials/1877" title="Journal Profile">Phys.-Dokl.</a> <a href="/?q=in%3A34095" title="Articles in this Issue">40, No. 12, 603-606 (1995)</a>; translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 5, 595-598 (1994). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> <a class="mono" href="/classification/?q=cc%3A35B20" title="Perturbations in context of PDEs">35B20</a> <a class="mono" href="/classification/?q=cc%3A35B40" title="Asymptotic behavior of solutions to PDEs">35B40</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0890.35130" data-ciurl="/ci/01102059" data-biburl="/bibtex/01102059.bib" data-amsurl="/amsrefs/01102059.bib" data-xmlurl="/xml/01102059.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01102059.pdf" title="Zbl 0890.35130 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item714425" value="714425" aria-label="mark item Zbl 0854.35101"></div> <div class="author"><a href="/authors/krichever.igor-moiseevich" title="Author Profile">Krichever, I.</a></div> <h3 class="title"> <a href="/0854.35101"><strong>The Cauchy problem for doubly periodic solutions of KP-II equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0854.35101">Zbl 0854.35101</a> </h3> <div class="source"> Fokas, A. S. (ed.) et al., Important developments in soliton theory. Berlin: Springer-Verlag. Springer Ser. Nonlinear Dyn. 123-146 (1993). </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A5581">V.A.Yumaguzhin (Pereslavl’-Zalesskij)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> <a class="mono" href="/classification/?q=cc%3A35Q51" title="Soliton equations">35Q51</a> <a class="mono" href="/classification/?q=cc%3A35B10" title="Periodic solutions to PDEs">35B10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0854.35101" data-ciurl="/ci/00714425" data-biburl="/bibtex/00714425.bib" data-amsurl="/amsrefs/00714425.bib" data-xmlurl="/xml/00714425.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00714425.pdf" title="Zbl 0854.35101 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item567585" value="567585" aria-label="mark item Zbl 0798.35137"></div> <div class="author"><a href="/authors/zhang.linghai" title="Author Profile">Zhang, L.</a>; <a href="/authors/jeffrey.alan-p" title="Author Profile">Jeffrey, A.</a></div> <h3 class="title"> <a href="/0798.35137"><strong>Stability of the Cauchy problem for the Korteweg-de Vries equation. I.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0798.35137">Zbl 0798.35137</a> </h3> <div class="source"> <a href="/serials/26" title="Journal Profile">Appl. Anal.</a> <a href="/?q=in%3A19467" title="Articles in this Issue">50, No. 1-2, 49-72 (1993)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=L%2A+Zhang">L.Zhang (Shanxi)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> <a class="mono" href="/classification/?q=cc%3A35B35" title="Stability in context of PDEs">35B35</a> <a class="mono" href="/classification/?q=cc%3A35R30" title="Inverse problems for PDEs">35R30</a> <a class="mono" href="/classification/?q=cc%3A35P25" title="Scattering theory for PDEs">35P25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0798.35137" data-ciurl="/ci/00567585" data-biburl="/bibtex/00567585.bib" data-amsurl="/amsrefs/00567585.bib" data-xmlurl="/xml/00567585.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00567585.pdf" title="Zbl 0798.35137 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/00036819308840184" aria-label="DOI for “Stability of the Cauchy problem for the Korteweg-de Vries equation. I”" title="10.1080/00036819308840184">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item751051" value="751051" aria-label="mark item Zbl 0819.35123"></div> <div class="author"><a href="/authors/nishihara.kenji" title="Author Profile">Nishihara, Kenji</a></div> <h3 class="title"> <a href="/0819.35123"><strong>Asymptotic behavior toward the rarefaction wave of the solutions of the Burgers’ equation with nonlinear degenerate viscosity.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0819.35123">Zbl 0819.35123</a> </h3> <div class="source"> Bainov, Drumi (ed.) et al., The second colloquium on differential equations, held in Plovdiv, Bulgaria, 19-24 August 1991. Singapore: World Scientific. 167-177 (1992). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> <a class="mono" href="/classification/?q=cc%3A35B40" title="Asymptotic behavior of solutions to PDEs">35B40</a> <a class="mono" href="/classification/?q=cc%3A35Q15" title="Riemann-Hilbert problems in context of PDEs">35Q15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0819.35123" data-ciurl="/ci/00751051" data-biburl="/bibtex/00751051.bib" data-amsurl="/amsrefs/00751051.bib" data-xmlurl="/xml/00751051.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00751051.pdf" title="Zbl 0819.35123 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item640196" value="640196" aria-label="mark item Zbl 0924.35145"></div> <div class="author"><a href="/authors/sakhnovich.alexander-l" title="Author Profile">Sakhnovich, A. L.</a></div> <h3 class="title"> <a href="/0924.35145"><strong>The Goursat problem for the sine-Gordon equation and the inverse spectral problem.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/0924.35145">Zbl 0924.35145</a> </h3> <div class="source"> <a href="/serials/1821" title="Journal Profile">Russ. Math.</a> <a href="/?q=in%3A14590" title="Articles in this Issue">36, No. 11, 42-52 (1992)</a>; translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1992, No. 11 (366), 44-54 (1992). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> <a class="mono" href="/classification/?q=cc%3A35R30" title="Inverse problems for PDEs">35R30</a> <a class="mono" href="/classification/?q=cc%3A60J10" title="Markov chains (discrete-time Markov processes on discrete state spaces)">60J10</a> <a class="mono" href="/classification/?q=cc%3A93E15" title="Stochastic stability in control theory">93E15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0924.35145" data-ciurl="/ci/00640196" data-biburl="/bibtex/00640196.bib" data-amsurl="/amsrefs/00640196.bib" data-xmlurl="/xml/00640196.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00640196.pdf" title="Zbl 0924.35145 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item497476" value="497476" aria-label="mark item Zbl 0788.35143"></div> <div class="author"><a href="/authors/belov.yurii-ya" title="Author Profile">Belov, Yu. Ya.</a></div> <h3 class="title"> <a href="/0788.35143"><strong>An inverse problem for the Burgers equation.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/0788.35143">Zbl 0788.35143</a> </h3> <div class="source"> <a href="/serials/1872" title="Journal Profile">Russ. Acad. Sci., Dokl., Math.</a> <a href="/?q=in%3A14245" title="Articles in this Issue">45, No. 2, 334-337 (1992)</a>; translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 323, No. 3, 385-388 (1992). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35R30" title="Inverse problems for PDEs">35R30</a> <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> <a class="mono" href="/classification/?q=cc%3A45K05" title="Integro-partial differential equations">45K05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0788.35143" data-ciurl="/ci/00497476" data-biburl="/bibtex/00497476.bib" data-amsurl="/amsrefs/00497476.bib" data-xmlurl="/xml/00497476.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00497476.pdf" title="Zbl 0788.35143 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item4113331" value="4113331" aria-label="mark item Zbl 0679.47009"></div> <div class="author"><a href="/authors/kappeler.thomas" title="Author Profile">Kappeler, Th.</a></div> <h3 class="title"> <a href="/0679.47009"><strong>Inverse scattering for scattering data with poor regularity of slow decay.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0679.47009">Zbl 0679.47009</a> </h3> <div class="source"> <a href="/serials/1259" title="Journal Profile">J. Integral Equations Appl.</a> <a href="/?q=in%3A169576" title="Articles in this Issue">1, No. 1, 123-145 (1988)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A1753">M.Thompson</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A47A40" title="Scattering theory of linear operators">47A40</a> <a class="mono" href="/classification/?q=cc%3A35Q99" title="Partial differential equations of mathematical physics and other areas of application">35Q99</a> <a class="mono" href="/classification/?q=cc%3A35P25" title="Scattering theory for PDEs">35P25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0679.47009" data-ciurl="/ci/04113331" data-biburl="/bibtex/04113331.bib" data-amsurl="/amsrefs/04113331.bib" data-xmlurl="/xml/04113331.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/04113331.pdf" title="Zbl 0679.47009 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1216/JIE-1988-1-1-123" aria-label="DOI for “Inverse scattering for scattering data with poor regularity of slow decay”" title="10.1216/JIE-1988-1-1-123">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item4013181" value="4013181" aria-label="mark item Zbl 0624.35071"></div> <div class="author"><a href="/authors/boiti.marco" title="Author Profile">Boiti, Marco</a>; <a href="/authors/leon.jerome-j-p" title="Author Profile">Leon, Jérôme J. P.</a>; <a href="/authors/manna.miguel-a" title="Author Profile">Manna, Miguel</a>; <a href="/authors/pempinelli.flora" title="Author Profile">Pempinelli, Flora</a></div> <h3 class="title"> <a href="/0624.35071"><strong>On a spectral transform of a KdV-like equation related to the Schrödinger operator in the plane.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0624.35071">Zbl 0624.35071</a> </h3> <div class="source"> <a href="/serials/112" title="Journal Profile">Inverse Probl.</a> <a href="/?q=in%3A152592" title="Articles in this Issue">3, 25-36 (1987)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35Q99" title="Partial differential equations of mathematical physics and other areas of application">35Q99</a> <a class="mono" href="/classification/?q=cc%3A35G25" title="Initial value problems for nonlinear higher-order PDEs">35G25</a> <a class="mono" href="/classification/?q=cc%3A35J10" title="Schrödinger operator, Schrödinger equation">35J10</a> <a class="mono" href="/classification/?q=cc%3A37J35" title="Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests">37J35</a> <a class="mono" href="/classification/?q=cc%3A37K10" title="Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)">37K10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0624.35071" data-ciurl="/ci/04013181" data-biburl="/bibtex/04013181.bib" data-amsurl="/amsrefs/04013181.bib" data-xmlurl="/xml/04013181.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/04013181.pdf" title="Zbl 0624.35071 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1088/0266-5611/3/1/008" aria-label="DOI for “On a spectral transform of a KdV-like equation related to the Schrödinger operator in the plane”" title="10.1088/0266-5611/3/1/008">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item3968124" value="3968124" aria-label="mark item Zbl 0599.76027"></div> <div class="author"><a href="/authors/egorov.yu-a" title="Author Profile">Egorov, Yu. A.</a>; <a href="/authors/molotkov.i-a" title="Author Profile">Molotkov, I. A.</a></div> <h3 class="title"> <a href="/0599.76027"><strong>Influence of the variable depth and of the nonlinear and dispersion second order terms on the propagation of surface gravitational waves.</strong></a> <i>(Russian)</i> <a class="label nowrap" href="/0599.76027">Zbl 0599.76027</a> </h3> <div class="source"> <a href="/serials/4204" title="Journal Profile">Probl. Mat. Fiz.</a> <a href="/?q=in%3A182650" title="Articles in this Issue">11, 113-124 (1986)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=O%2A+Dumbrajs">O.Dumbrajs</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A76B25" title="Solitary waves for incompressible inviscid fluids">76B25</a> <a class="mono" href="/classification/?q=cc%3A35Q99" title="Partial differential equations of mathematical physics and other areas of application">35Q99</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0599.76027" data-ciurl="/ci/03968124" data-biburl="/bibtex/03968124.bib" data-amsurl="/amsrefs/03968124.bib" data-xmlurl="/xml/03968124.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/03968124.pdf" title="Zbl 0599.76027 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item3816434" value="3816434" aria-label="mark item Zbl 0516.47023"></div> <div class="author"><a href="/authors/pazy.amnon" title="Author Profile">Pazy, A.</a></div> <h3 class="title"> <a href="/0516.47023"><strong>Semigroups of linear operators and applications to partial differential equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0516.47023">Zbl 0516.47023</a> </h3> <div class="source"> <a href="/serials/3753" title="Series Profile">Applied Mathematical Sciences</a>, 44. New York etc.: Springer-Verlag. VIII, 279 p. (1983). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A47D03" title="Groups and semigroups of linear operators">47D03</a> <a class="mono" href="/classification/?q=cc%3A47-02" title="Research exposition (monographs, survey articles) pertaining to operator theory">47-02</a> <a class="mono" href="/classification/?q=cc%3A47F05" title="General theory of partial differential operators">47F05</a> <a class="mono" href="/classification/?q=cc%3A47H20" title="Semigroups of nonlinear operators">47H20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0516.47023" data-ciurl="" data-biburl="/bibtex/03816434.bib" data-amsurl="/amsrefs/03816434.bib" data-xmlurl="/xml/03816434.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/03816434.pdf" title="Zbl 0516.47023 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/978-1-4612-5561-1" aria-label="DOI for “Semigroups of linear operators and applications to partial differential equations”" title="10.1007/978-1-4612-5561-1">DOI</a> </div> <div class="backlinks"> <span class="backlink">Backlinks:</span> <a class="btn btn-default btn-xs" type="button" href="https://mathoverflow.net/a/450390" title="Lumer-Phillips-type theorem for non-autonomous evolutions">MO</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item3824347" value="3824347" aria-label="mark item Zbl 0521.35040"></div> <div class="author"><a href="/authors/kruzhkov.stanislav-nicolayevich" title="Author Profile">Kruzhkov, Stanislav N.</a></div> <h3 class="title"> <a href="/0521.35040"><strong>Cauchy’s problem in the large for nonlinear hyperbolic equations and for the Korteweg-de Vries equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0521.35040">Zbl 0521.35040</a> </h3> <div class="source"> Differential equations and their applications, Equadiff. 5, Proc. 5th Czech. Conf., Bratislava 1981, Teubner-Texte Math. 47, 205-208 (1982). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35Q99" title="Partial differential equations of mathematical physics and other areas of application">35Q99</a> <span class="mono" title="Existence of generalized solutions of PDE (MSC2000)">35D05</span> <a class="mono" href="/classification/?q=cc%3A35L60" title="First-order nonlinear hyperbolic equations">35L60</a> <span class="mono" title="Regularity of generalized solutions of PDE (MSC2000)">35D10</span> <a class="mono" href="/classification/?q=cc%3A35G10" title="Initial value problems for linear higher-order PDEs">35G10</a> <a class="mono" href="/classification/?q=cc%3A35K25" title="Higher-order parabolic equations">35K25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0521.35040" data-ciurl="" data-biburl="/bibtex/03824347.bib" data-amsurl="/amsrefs/03824347.bib" data-xmlurl="/xml/03824347.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/03824347.pdf" title="Zbl 0521.35040 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div></section> <section class="content-filter"><h2 class="filters-caption">Filter Results by …</h2> <div class="filter filter-st"> <h3 class="filter-caption">Access</h3> <ul><li> <a href="/?q=ut%3ACauchy+problem+for+the+Korteweg-de-Vries+equation+st%3Ao" title="Open Access Documents">Open Access</a> (1) </li></ul> </div> <div class="filter filter-dt"> <h3 class="filter-caption">Document Type</h3> <ul><li> <a href="/?q=ut%3ACauchy+problem+for+the+Korteweg-de-Vries+equation+dt%3Aj" title="Articles in Journals">Journal Articles</a> (14) </li><li> <a href="/?q=ut%3ACauchy+problem+for+the+Korteweg-de-Vries+equation+dt%3Aa" title="Articles in Conference Proceedings and Collected Volumes">Collection Articles</a> (5) </li><li> <a href="/?q=ut%3ACauchy+problem+for+the+Korteweg-de-Vries+equation+dt%3Ab" title="Monographs, Proceedings, Dissertations etc.">Books</a> (1) </li></ul> </div> <div class="filter filter-ai"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3 class="filter-caption">Author</h3> <ul><li> <a href="/?q=ut%3ACauchy+problem+for+the+Korteweg-de-Vries+equation+ai%3Abelov.yurii-ya">Belov, Yuriĭ Ya.</a> (1) </li><li> <a href="/?q=ut%3ACauchy+problem+for+the+Korteweg-de-Vries+equation+ai%3Abirnir.bjorn">Birnir, Bjorn</a> (1) </li><li> <a href="/?q=ut%3ACauchy+problem+for+the+Korteweg-de-Vries+equation+ai%3Aboiti.marco">Boiti, Marco</a> (1) </li><li> <a href="/?q=ut%3ACauchy+problem+for+the+Korteweg-de-Vries+equation+ai%3Abourgain.jean">Bourgain, Jean</a> (1) </li><li> <a href="/?q=ut%3ACauchy+problem+for+the+Korteweg-de-Vries+equation+ai%3Acadeddu.lucio">Cadeddu, Lucio</a> (1) </li><li class="more"> <a href="/?q=ut%3ACauchy+problem+for+the+Korteweg-de-Vries+equation+ai%3Adai.zhengde">Dai, Zhengde</a> (1) </li><li class="more"> <a href="/?q=ut%3ACauchy+problem+for+the+Korteweg-de-Vries+equation+ai%3Adu.xianyun">Du, Xianyun</a> (1) </li><li class="more"> <a href="/?q=ut%3ACauchy+problem+for+the+Korteweg-de-Vries+equation+ai%3Aegorov.yu-a">Egorov, Yu. 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A.</a> (1) </li><li class="more"> <a href="/?q=ut%3ACauchy+problem+for+the+Korteweg-de-Vries+equation+ai%3Anishihara.kenji">Nishihara, Kenji</a> (1) </li><li class="more"> <a href="/?q=ut%3ACauchy+problem+for+the+Korteweg-de-Vries+equation+ai%3Apazy.amnon">Pazy, Amnon</a> (1) </li><li class="more"> <a href="/?q=ut%3ACauchy+problem+for+the+Korteweg-de-Vries+equation+ai%3Apempinelli.flora">Pempinelli, Flora</a> (1) </li><li class="more"> <a href="/?q=ut%3ACauchy+problem+for+the+Korteweg-de-Vries+equation+ai%3Aponce.gustavo">Ponce, Gustavo</a> (1) </li><li class="more"> <a href="/?q=ut%3ACauchy+problem+for+the+Korteweg-de-Vries+equation+ai%3Asakhnovich.alexander-l">Sakhnovich, Alexander L.</a> (1) </li><li class="more"> <a href="/?q=ut%3ACauchy+problem+for+the+Korteweg-de-Vries+equation+ai%3Asrinivasan.gopala-krishna">Srinivasan, Gopala Krishna</a> (1) </li><li class="more"> <a href="/?q=ut%3ACauchy+problem+for+the+Korteweg-de-Vries+equation+ai%3Asvanstedt.nils-e-m">Svanstedt, Nils E. 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