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dc.creatorXu, Jiaohuies
dc.creatorZhang, Zhengcees
dc.creatorCaraballo Garrido, Tomáses
dc.date.accessioned2021-02-03T12:42:20Z
dc.date.available2021-02-03T12:42:20Z
dc.date.issued2020-09-15
dc.identifier.citationXu, J., Zhang, Z. y Caraballo Garrido, T. (2020). Non-autonomous nonlocal partial differential equations with delay and memory. Journal of Differential Equations, 270 (enero), 505-1-546-42.
dc.identifier.issn0022-0396 (impreso)es
dc.identifier.urihttps://hdl.handle.net/11441/104537
dc.description.abstractThe paper addresses a kind of non-autonomous nonlocal parabolic equations when the external force contains hereditary characteristics involving bounded and unbounded delays. First, well-posedness of the problem is analyzed by the Galerkin method and energy estimations in the phase space Cρ(X). Moreover, some results related to strong solutions are proved under suitable assumptions. The existence of stationary solutions is then established by a corollary of the Brower fixed point theorem. By constructing appropriate Lyapunov functionals in terms of the characteristic delay terms, a deep analysis on stability and attractive-ness of the stationary solutions is established. Furthermore, the existence of pullback attractors in L2( ), with bounded and unbounded delays, is shown. We emphasize that, to prove the existence of pullback attractors in the unbounded delay case, a new phase space, Eγ, has to be constructed.es
dc.description.sponsorshipMinisterio de Ciencia, Innovación y Universidades (MCIU). Españaes
dc.description.sponsorshipAgencia Estatal de Investigación (AEI). Españaes
dc.description.sponsorshipFondo Europeo de Desarrollo Regional (FEDER)es
dc.description.sponsorshipJunta de Andalucía (Consejería de Economía y Conocimiento)es
dc.formatapplication/pdfes
dc.format.extent42 p.es
dc.language.isoenges
dc.publisherElsevier [Commercial Publisher], Academic Press [Associate Organisation]es
dc.relation.ispartofJournal of Differential Equations, 270 (enero), 505-1-546-42.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectNon-autonomous nonlocal parabolic equationses
dc.subjectBounded and unbounded delayses
dc.subjectStationary solutionses
dc.subjectPullback attractorses
dc.titleNon-autonomous nonlocal partial differential equations with delay and memoryes
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/acceptedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numéricoes
dc.relation.projectIDPGC2018-096540-B-I00es
dc.relation.projectIDUS-1254251es
dc.relation.publisherversionhttps://doi.org/10.1016/j.jde.2020.07.037es
dc.identifier.doi10.1016/j.jde.2020.07.037es
dc.journaltitleJournal of Differential Equationses
dc.publication.volumen270es
dc.publication.issueeneroes
dc.publication.initialPage505-1es
dc.publication.endPage546-42es
dc.contributor.funderMinisterio de Ciencia, Innovación y Universidades (MCIU). Españaes
dc.contributor.funderAgencia Estatal de Investigación (AEI). Españaes
dc.contributor.funderEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)es
dc.contributor.funderJunta de Andalucía (Consejería de Economía y Conocimiento)es

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