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NONLINEAR HEAT CONDUCTION WITH ABSORPTION: SPACE LOCALIZATION AND EXTINCTION IN FINITE TIME.
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Additional lower order terms in the nonlinear heat conduction equation can lead to essentially new behavior of the solutions. The statements answer the questions: when the support of the solution is bounded in space and when the solution 'dies' in finite time.
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(Kersner Róbert (Nemlineáris analízis); 2011.12.15. 11:17:37)
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<div class="JournalArticle Publication short-list"> <div class="authors"> <span class="author-name" mtid="10006591"> <a href="/gui2/?type=authors&mode=browse&sel=10006591" target="_blank">Kersner, Robert</a> </span> <span class="author-type"> </span> </div ><div class="title"><a href="/gui2/?mode=browse¶ms=publication;1788522" mtid="1788522" target="_blank">NONLINEAR HEAT CONDUCTION WITH ABSORPTION: SPACE LOCALIZATION AND EXTINCTION IN FINITE TIME.</a></div> <div class="pub-info"> <span class="journal-title">SIAM JOURNAL ON APPLIED MATHEMATICS</span> <span class="journal-volume">43</span> : <span class="journal-issue">6</span> <span class="page"> pp. 1274-1285. , 12 p. </span> <span class="year">(1983)</span> </div> <div class="pub-end"><div class="identifier-list"> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:black" title="10.1137/0143085" target="_blank" href="https://doi.org/10.1137/0143085"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="A1983RU91300005" target="_blank" href="https://www.webofscience.com/wos/woscc/full-record/A1983RU91300005"> WoS </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="0020880558" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0020880558"> Scopus </a> </span> </span> </div> <div class="short-pub-prop-list"> <span class="short-pub-mtid"> Publication:1788522 </span> <span class="status-holder"><span class="status-data status-APPROVED"> Published </span></span> <span class="pub-core">Core Citing </span> <span class="pub-type">Journal Article (Article ) </span> <!-- && !record.category.scientific --> <span class="pub-category">Scientific</span> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="" class="citingPub-count">Citing papers: 42</span> | Independent citation: 41 | Self citation: 1 | Unknown citation: 0 | Number of citations in WoS: 33 | Number of citations in Scopus: 30 | WoS/Scopus assigned: 42 | Number of citations with DOI: 35 </div> </div> </div> </div><div class="JournalArticle Publication long-list"> <div class="authors"> <img title="Forrásközlemény" style="float: left" src="/frontend/resources/grid/publication-core-icon.png"> <img title="Idézőközlemény" style="float: left" src="/frontend/resources/grid/publication-citation-icon.png"> <div class="autype autype0"> <span class="author-name" mtid="10006591"><a href="/gui2/?type=authors&mode=browse&sel=10006591" target="_blank">Kersner Robert (<span class="authorship-author-name">Kersner Róbert</span> <span class="authorAux-mtmt"> Nemlineáris analízis</span>) </a> </span> </div> </div> <div class="title"><a href="/gui2/?mode=browse¶ms=publication;1788522" target="_blank">NONLINEAR HEAT CONDUCTION WITH ABSORPTION: SPACE LOCALIZATION AND EXTINCTION IN FINITE TIME.</a></div> <div> <span class="journal-title">SIAM JOURNAL ON APPLIED MATHEMATICS</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/0036-1399">0036-1399</a> <a target="_blank" href="https://portal.issn.org/resource/ISSN/1095-712X">1095-712X</a>)</span>: <span class="journal-volume">43</span> <span class="journal-issue">6</span> <span class="page"> pp 1274-1285 </span> <span class="year">(1983)</span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Language: English | </span> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:black" title="10.1137/0143085" target="_blank" href="https://doi.org/10.1137/0143085"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="A1983RU91300005" target="_blank" href="https://www.webofscience.com/wos/woscc/full-record/A1983RU91300005"> WoS </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="0020880558" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0020880558"> Scopus </a> </span> </span> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="" class="citingPub-count">Citing papers: 42</span> | Independent citation: 41 | Self citation: 1 | Unknown citation: 0 | Number of citations in WoS: 33 | Number of citations in Scopus: 30 | WoS/Scopus assigned: 42 | Number of citations with DOI: 35 </div> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;1788522&sort=publishedYear,desc&sort=title"> Number of cited publications: 1 </a> </div> <div class="mtid"><span class="long-pub-mtid">Publication: 1788522</span> | <span class="status-data status-APPROVED"> Published </span> <span class="oldId">Old id: 1788522</span> | Core Citing | <span class="type-subtype">Journal Article ( Article ) </span> | <span class="pub-category">Scientific</span> | <span class="publication-sourceOfData">Scopus</span> </div> <div class="lastModified">Last Modified: 2018.10.09. 09:47 Admin Szuper (admin) </div> </div></div>