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dc.contributor.authorAbadias, Luciano
dc.contributor.authorLizama, Carlos
dc.contributor.authormurillo arcila, marina
dc.date.accessioned2018-05-15T07:16:37Z
dc.date.available2018-05-15T07:16:37Z
dc.date.issued2018-01
dc.identifier.citationABADÍAS, 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. 243-265ca_CA
dc.identifier.issn1534-0392
dc.identifier.issn1553-5258
dc.identifier.urihttp://hdl.handle.net/10234/174670
dc.description.abstractWe 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.extent23 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isospaca_CA
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)ca_CA
dc.relation.isPartOfCommunications on Pure & Applied Analysis, 2018, vol. 17, no 1ca_CA
dc.rightsThis 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 Sciencesca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/*
dc.subjectC-alpha-well posednessca_CA
dc.subjectMoore-Gibson-Thompson equationca_CA
dc.subjectoperator-valued Fourier multipliersca_CA
dc.subjectinfinite delayca_CA
dc.titleHölder regularity for the Moore-Gibson-Thompson equation with infinite delayca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.3934/cpaa.2018015
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttp://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=14568ca_CA
dc.contributor.funderThe 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.versioninfo:eu-repo/semantics/submittedVersionca_CA


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