Document Zbl 1451.37095

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Appl. Anal. Comput.</a> <a href="/?q=in%3A452889" title="Articles in this Issue">5, No. 3, 363-387 (2015)</a>. </div> <div class="abstract">Summary: In this paper we study the asymptotic dynamics for the nonautonomous stochastic strongly damped wave equation driven by additive noise defined on unbounded domains. First we introduce a continuous cocycle for the equation and then investigate the existence and uniqueness of tempered random attractors which pullback attract all tempered random sets.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7246345">Cited in <strong>17</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A37L55" title="MSC2020">37L55</a> </td> <td class="space"> Infinite-dimensional random dynamical systems; stochastic equations </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A37L30" title="MSC2020">37L30</a> </td> <td class="space"> Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A60H15" title="MSC2020">60H15</a> </td> <td class="space"> Stochastic partial differential equations (aspects of stochastic analysis) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A35B40" title="MSC2020">35B40</a> </td> <td class="space"> Asymptotic behavior of solutions to PDEs </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A35B41" title="MSC2020">35B41</a> </td> <td class="space"> Attractors </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Astochastic+strongly+damped+wave+equation">stochastic strongly damped wave equation</a>; <a href="/?q=ut%3Aunbounded+domains">unbounded domains</a>; <a href="/?q=ut%3Arandom+attractor">random attractor</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 1451.37095" data-ciurl="/ci/07246345" data-biburl="/bibtex/07246345.bib" data-amsurl="/amsrefs/07246345.bib" data-xmlurl="/xml/07246345.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07246345.pdf" title="Zbl 1451.37095 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/10.11948/2015031" aria-label="DOI for “Random attractor for non-autonomous stochastic strongly damped wave equation on unbounded domains”" title="10.11948/2015031">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">L. 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