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Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay
dc.contributor.author | Abadias, Luciano | |
dc.contributor.author | Lizama, Carlos | |
dc.contributor.author | murillo arcila, marina | |
dc.date.accessioned | 2018-05-15T07:16:37Z | |
dc.date.available | 2018-05-15T07:16:37Z | |
dc.date.issued | 2018-01 | |
dc.identifier.citation | ABADÍAS, Luciano; LIZAMA, Carlos; MURILLO-ARCILA, Marina. Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay. Communications on Pure & Applied Analysis, 2018, vol. 17, no 1, p. 243-265 | ca_CA |
dc.identifier.issn | 1534-0392 | |
dc.identifier.issn | 1553-5258 | |
dc.identifier.uri | http://hdl.handle.net/10234/174670 | |
dc.description.abstract | We characterize the well-posedness of a third order in time equation with infinite delay in Holder spaces, solely in terms of spectral properties concerning the data of the problem. Our analysis includes the case of the linearized Kuznetzov and Westerwelt equations. We show in case of the Laplacian operator the new and surprising fact that for the standard memory kernel g(t) = t(v-1)/Gamma(v)e(-at) the third order problem is ill- posed whenever 0 < v <= 1 and alpha is inversely proportional to one of the terms of the given model. | ca_CA |
dc.format.extent | 23 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | spa | ca_CA |
dc.publisher | American Institute of Mathematical Sciences (AIMS) | ca_CA |
dc.relation.isPartOf | Communications on Pure & Applied Analysis, 2018, vol. 17, no 1 | ca_CA |
dc.rights | This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Communications on Pure and Applied Analysis following peer review. The definitive publisher-authenticated version Communications on Pure & Applied Analysis, 2018, vol. 17, no 1, is available online at: http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=14568. Copyright © American Institute of Mathematical Sciences | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | C-alpha-well posedness | ca_CA |
dc.subject | Moore-Gibson-Thompson equation | ca_CA |
dc.subject | operator-valued Fourier multipliers | ca_CA |
dc.subject | infinite delay | ca_CA |
dc.title | Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.3934/cpaa.2018015 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=14568 | ca_CA |
dc.contributor.funder | The first author is supported by the Project POSTDOC DICYT-041633LY at the USACH. The second author is partially supported by CONICYT, under Fondecyt Grant number 1140258 and and CONICYT - PIA - Anillo ACT1416. The third author is supported by the Basque Government through the BERC 2014-2017 program and by Spanish Ministry of Economy and Competitiveness MINECO: BCAM Severo Ochoa excellence accreditation SEV-2013-0323 and GEAGAM, 644202 H2020-MSCA-RISE-2014. | ca_CA |
dc.type.version | info:eu-repo/semantics/submittedVersion | ca_CA |
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