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dc.creatorAnguiano Moreno, María 
dc.creatorMarín Rubio, Pedro 
dc.creatorReal Anguas, José 
dc.date.accessioned2015-06-23T13:55:09Z
dc.date.available2015-06-23T13:55:09Z
dc.date.issued2014
dc.identifier.issn1468-1218
dc.identifier.urihttp://hdl.handle.net/11441/25952
dc.description.abstractIn this paper, we prove some regularity results for pullback attractors of a non-autonomous reaction–diffusion model with dynamical boundary conditions considered in Anguiano (2011). Under certain assumptions of the nonlinear terms we show a regularity result for the unique solution of the problem. We establish a general result about boundedness of invariant sets for the associated evolution process in the norm of the domain of the spatial linear operator appearing in the equation. As a consequence, we deduce that the pullback attractors of the model are bounded in this domain norm. After that, under additional assumptions, some exponential growth results for pullback attractors when time goes to −∞ are proved.
dc.formatapplication/pdf
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofNonlinear Analysis: Real World Applications, 112-125
dc.rightsAtribución-NoComercial-SinDerivadas 4.0 España
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subjectReaction–diffusion equations
dc.subjectDynamical boundary conditions
dc.subjectPullback attractors
dc.subjectTempered exponential growth
dc.titleRegularity Results and Exponential Growth for Pullback Attractors of a Non-Autonomous Reaction-Diffusion Model with Dynamical Boundary Conditions
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.nonrwa.2014.05.003es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/25952

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