Document Zbl 1498.35612

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Inverse Ill-Posed Probl.</a> <a href="/?q=in%3A487544" title="Articles in this Issue">30, No. 5, 659-675 (2022)</a>. </div> <div class="abstract">Summary: In this article, we study the inverse problem of recovering a space-dependent coefficient of the Moore-Gibson-Thompson (MGT) equation from knowledge of the trace of the solution on some open subset of the boundary. We obtain the Lipschitz stability for this inverse problem, and we design a convergent algorithm for the reconstruction of the unknown coefficient. The techniques used are based on Carleman inequalities for wave equations and properties of the MGT equation.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7595869">Cited in <strong>3</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A35R30" title="MSC2020">35R30</a> </td> <td class="space"> Inverse problems for PDEs </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A35L35" title="MSC2020">35L35</a> </td> <td class="space"> Initial-boundary value problems for higher-order hyperbolic equations </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93B07" title="MSC2020">93B07</a> </td> <td class="space"> Observability </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3ACarleman+inequalities">Carleman inequalities</a>; <a href="/?q=ut%3ABukhgeim-Klibanov+method">Bukhgeim-Klibanov method</a>; <a href="/?q=ut%3Ahidden+regularity">hidden regularity</a>; <a href="/?q=ut%3AMoore-Gibson-Thompson+equation">Moore-Gibson-Thompson equation</a></div> <div class="software"> <h3>Software:</h3><a href="/software/6437">CasADi</a></div>  <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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1498.35612" data-ciurl="/ci/07595869" data-biburl="/bibtex/07595869.bib" data-amsurl="/amsrefs/07595869.bib" data-xmlurl="/xml/07595869.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07595869.pdf" title="Zbl 1498.35612 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/10.1515/jiip-2020-0090" aria-label="DOI for “An inverse problem for Moore-Gibson-Thompson equation arising in high intensity ultrasound”" title="10.1515/jiip-2020-0090">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2001.07673"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">J. 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