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dc.creatorGarcía Luengo, Julia María 
dc.creatorMarín Rubio, Pedro 
dc.date.accessioned2015-06-23T13:55:09Z
dc.date.available2015-06-23T13:55:09Z
dc.date.issued2014
dc.identifier.citationGarcía Luengo, J.M. y Marín Rubio, P. (2014). Reaction-Diffusion Equations with Non-Autonomous Force In H-1 and Delays Under Measurability Conditions on The Driving Delay Term. Journal of Mathematical Analysis and Applications, 417 (1), 80-95.es
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/11441/25947
dc.description.abstractIn this paper we analyze the existence of solutions for a reaction–diffusion problem with hereditary effects and a time-dependent force term with values in H−1. The main novelty is that the delay term may be driven by a function under very minimal assumptions, namely, just measurability. This is due to the fact that we only deal with a phase-space of functions continuous in time, allowing this general setting, which might be more useful when less regularity is known in the hereditary mechanism. After that, we obtain uniform estimates and asymptotic compactness properties (via an energy method) that allow us to ensure the existence of pullback attractors for the associated process to the problem. Actually, we obtain two different families of minimal pullback attractors, namely, those of fixed bounded sets but also for a class of time-dependent families (universe) given by a tempered condition. Finally, from comparison results, we establish relations among them, and under suitable additional assumptions we conclude that these families of attractors are in fact the same object.
dc.formatapplication/pdf
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofJournal of Mathematical Analysis and Applications, 417(1), 80-95
dc.rightsAtribución-NoComercial-SinDerivadas 4.0 España
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subjectReaction–diffusion equations
dc.subjectDelay
dc.subjectPullback attractors
dc.titleReaction-Diffusion Equations with Non-Autonomous Force In H-1 and Delays Under Measurability Conditions on The Driving Delay Term
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/submittedVersion
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
dc.relation.publisherversion
dc.identifier.doihttp://dx.doi.org/10.1016/j.jmaa.2014.03.026es
dc.journaltitleJournal of Mathematical Analysis and Applicationses
dc.publication.volumen417es
dc.publication.issue1es
dc.publication.initialPage80es
dc.publication.endPage95es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/25947

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