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Artículo
Regularity Results and Exponential Growth for Pullback Attractors of a Non-Autonomous Reaction-Diffusion Model with Dynamical Boundary Conditions
dc.creator | Anguiano Moreno, María | |
dc.creator | Marín Rubio, Pedro | |
dc.creator | Real Anguas, José | |
dc.date.accessioned | 2015-06-23T13:55:09Z | |
dc.date.available | 2015-06-23T13:55:09Z | |
dc.date.issued | 2014 | |
dc.identifier.issn | 1468-1218 | |
dc.identifier.uri | http://hdl.handle.net/11441/25952 | |
dc.description.abstract | In 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.format | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Elsevier | |
dc.relation.ispartof | Nonlinear Analysis: Real World Applications, 112-125 | |
dc.rights | Atribución-NoComercial-SinDerivadas 4.0 España | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0 | |
dc.subject | Reaction–diffusion equations | |
dc.subject | Dynamical boundary conditions | |
dc.subject | Pullback attractors | |
dc.subject | Tempered exponential growth | |
dc.title | Regularity Results and Exponential Growth for Pullback Attractors of a Non-Autonomous Reaction-Diffusion Model with Dynamical Boundary Conditions | |
dc.type | info:eu-repo/semantics/article | |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | |
dc.relation.publisherversion | ||
dc.identifier.doi | http://dx.doi.org/10.1016/j.nonrwa.2014.05.003 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/25952 |
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