Existence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equation

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dc.contributor.authorAlmeida, Marcelo F. de
dc.contributor.authorPrecioso, Juliana C. P. [UNESP]
dc.contributor.institutionUniversidade Federal de Sergipe (UFS)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-11-26T16:16:20Z
dc.date.available2018-11-26T16:16:20Z
dc.date.issued2015-12-01
dc.description.abstractThis paper considers a semilinear integro-differential equation of Volterra type which interpolates semilinear heat and wave equations. Global existence of solutions is showed in spaces of Besov type based in Morrey spaces, namely Besov-Morrey spaces. Our initial data is larger than the previous works and our results provide a maximal existence class for semilinear interpolated heat-wave equation. Some symmetries, self-similarity and asymptotic behavior of solutions are also investigated in the framework of Besov Morrey spaces. (C) 2015 Elsevier Inc. All rights reserved.en
dc.description.affiliationUniv Fed Sergipe, Dept Matemat, BR-49100000 Sao Cristovao, SE, Brazil
dc.description.affiliationUniv Estadual Paulista, Dept Matemat, BR-15054000 Sao Paulo, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat, BR-15054000 Sao Paulo, SP, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdCNPq: 482428/12-0
dc.description.sponsorshipIdCNPq: 460800/14-0
dc.format.extent338-355
dc.identifierhttp://dx.doi.org/10.1016/j.jmaa.2015.06.044
dc.identifier.citationJournal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 432, n. 1, p. 338-355, 2015.
dc.identifier.doi10.1016/j.jmaa.2015.06.044
dc.identifier.fileWOS000359030800022.pdf
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/11449/160692
dc.identifier.wosWOS:000359030800022
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofJournal Of Mathematical Analysis And Applications
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectFractional partial differential equation
dc.subjectRiemann-Liouville derivative
dc.subjectSymmetries
dc.subjectSelf-similarity
dc.subjectBesov-Morrey spaces
dc.titleExistence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equationen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.

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