Pullback Attractors for a Semilinear Heat Equation In a Non-Cylindrical Domain

The existence and uniqueness of a variational solution satisfying energy equality is proved for a semilinear heat equation in a non-cylindrical domain with homogeneous Dirichlet boundary condition, under the assumption that the spatial domains are bounded and increase with time. In addition, the non...

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Detalles Bibliográficos
Autores: Kloeden, Peter E., Marín Rubio, Pedro, Real Anguas, José
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2008
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/25941
Acceso en línea:http://hdl.handle.net/11441/25941
https://doi.org/10.1016/j.jde.2007.10.031
Access Level:acceso abierto
Palabra clave:Semilinear heat equations
Non-cylindrical domains
Non-autonomous dynamical system
Pullback attractor
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spelling Pullback Attractors for a Semilinear Heat Equation In a Non-Cylindrical DomainKloeden, Peter E.Marín Rubio, PedroReal Anguas, JoséSemilinear heat equationsNon-cylindrical domainsNon-autonomous dynamical systemPullback attractorThe existence and uniqueness of a variational solution satisfying energy equality is proved for a semilinear heat equation in a non-cylindrical domain with homogeneous Dirichlet boundary condition, under the assumption that the spatial domains are bounded and increase with time. In addition, the non-autonomous dynamical system generated by this class of solutions is shown to have a global pullback attractor.ElsevierEcuaciones Diferenciales y Análisis Numérico2008info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/25941https://doi.org/10.1016/j.jde.2007.10.031reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Differential Equations, 244(8), 2062-2090http://dx.doi.org/10.1016/j.jde.2007.10.031info:eu-repo/semantics/openAccessoai:idus.us.es:11441/259412026-06-17T12:51:07Z
dc.title.none.fl_str_mv Pullback Attractors for a Semilinear Heat Equation In a Non-Cylindrical Domain
title Pullback Attractors for a Semilinear Heat Equation In a Non-Cylindrical Domain
spellingShingle Pullback Attractors for a Semilinear Heat Equation In a Non-Cylindrical Domain
Kloeden, Peter E.
Semilinear heat equations
Non-cylindrical domains
Non-autonomous dynamical system
Pullback attractor
title_short Pullback Attractors for a Semilinear Heat Equation In a Non-Cylindrical Domain
title_full Pullback Attractors for a Semilinear Heat Equation In a Non-Cylindrical Domain
title_fullStr Pullback Attractors for a Semilinear Heat Equation In a Non-Cylindrical Domain
title_full_unstemmed Pullback Attractors for a Semilinear Heat Equation In a Non-Cylindrical Domain
title_sort Pullback Attractors for a Semilinear Heat Equation In a Non-Cylindrical Domain
dc.creator.none.fl_str_mv Kloeden, Peter E.
Marín Rubio, Pedro
Real Anguas, José
author Kloeden, Peter E.
author_facet Kloeden, Peter E.
Marín Rubio, Pedro
Real Anguas, José
author_role author
author2 Marín Rubio, Pedro
Real Anguas, José
author2_role author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
dc.subject.none.fl_str_mv Semilinear heat equations
Non-cylindrical domains
Non-autonomous dynamical system
Pullback attractor
topic Semilinear heat equations
Non-cylindrical domains
Non-autonomous dynamical system
Pullback attractor
description The existence and uniqueness of a variational solution satisfying energy equality is proved for a semilinear heat equation in a non-cylindrical domain with homogeneous Dirichlet boundary condition, under the assumption that the spatial domains are bounded and increase with time. In addition, the non-autonomous dynamical system generated by this class of solutions is shown to have a global pullback attractor.
publishDate 2008
dc.date.none.fl_str_mv 2008
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/25941
https://doi.org/10.1016/j.jde.2007.10.031
url http://hdl.handle.net/11441/25941
https://doi.org/10.1016/j.jde.2007.10.031
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Differential Equations, 244(8), 2062-2090
http://dx.doi.org/10.1016/j.jde.2007.10.031
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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