Existence of Pullback Attractors for Pullback Asymptotically Compact Processes

This paper is concerned with the existence of pullback attractors for evolution processes. Our aim is to provide results that extend the following results for autonomous evolution processes (semigroups) i) An autonomous evolution process which is bounded dissipative and asymptotically compact has a...

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Detalhes bibliográficos
Autores: Caraballo Garrido, Tomás, Carvalho, Alexandre Nolasco, Langa Rosado, José Antonio, Rivero Garvía, Luis Felipe
Formato: artículo
Fecha de publicación:2010
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23665
Acesso em linha:http://hdl.handle.net/11441/23665
https://doi.org/10.1016/j.na.2009.09.037
Access Level:acceso abierto
Palavra-chave:Pullback attractors
Pullback asymptotic compactness
Non-autonomous dynamical systems
Evolution processes
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spelling Existence of Pullback Attractors for Pullback Asymptotically Compact ProcessesCaraballo Garrido, TomásCarvalho, Alexandre NolascoLanga Rosado, José AntonioRivero Garvía, Luis FelipePullback attractorsPullback asymptotic compactnessNon-autonomous dynamical systemsEvolution processesThis paper is concerned with the existence of pullback attractors for evolution processes. Our aim is to provide results that extend the following results for autonomous evolution processes (semigroups) i) An autonomous evolution process which is bounded dissipative and asymptotically compact has a global attractor. ii) An autonomous evolution process which is bounded, point dissipative and asymptotically compact has a global attractor. The extension of such results requires the introduction of new concepts and brings up some important differences between the asymptotic properties of autonomous and nonautonomous evolution processes. An application is considered to damped wave problem with non-autonomous damping.Ecuaciones Diferenciales y Análisis Numérico2010info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/23665https://doi.org/10.1016/j.na.2009.09.037reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésNonlinear Analysis, 10(4), 491-513info:eu-repo/semantics/openAccessoai:idus.us.es:11441/236652026-06-17T12:51:07Z
dc.title.none.fl_str_mv Existence of Pullback Attractors for Pullback Asymptotically Compact Processes
title Existence of Pullback Attractors for Pullback Asymptotically Compact Processes
spellingShingle Existence of Pullback Attractors for Pullback Asymptotically Compact Processes
Caraballo Garrido, Tomás
Pullback attractors
Pullback asymptotic compactness
Non-autonomous dynamical systems
Evolution processes
title_short Existence of Pullback Attractors for Pullback Asymptotically Compact Processes
title_full Existence of Pullback Attractors for Pullback Asymptotically Compact Processes
title_fullStr Existence of Pullback Attractors for Pullback Asymptotically Compact Processes
title_full_unstemmed Existence of Pullback Attractors for Pullback Asymptotically Compact Processes
title_sort Existence of Pullback Attractors for Pullback Asymptotically Compact Processes
dc.creator.none.fl_str_mv Caraballo Garrido, Tomás
Carvalho, Alexandre Nolasco
Langa Rosado, José Antonio
Rivero Garvía, Luis Felipe
author Caraballo Garrido, Tomás
author_facet Caraballo Garrido, Tomás
Carvalho, Alexandre Nolasco
Langa Rosado, José Antonio
Rivero Garvía, Luis Felipe
author_role author
author2 Carvalho, Alexandre Nolasco
Langa Rosado, José Antonio
Rivero Garvía, Luis Felipe
author2_role author
author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
dc.subject.none.fl_str_mv Pullback attractors
Pullback asymptotic compactness
Non-autonomous dynamical systems
Evolution processes
topic Pullback attractors
Pullback asymptotic compactness
Non-autonomous dynamical systems
Evolution processes
description This paper is concerned with the existence of pullback attractors for evolution processes. Our aim is to provide results that extend the following results for autonomous evolution processes (semigroups) i) An autonomous evolution process which is bounded dissipative and asymptotically compact has a global attractor. ii) An autonomous evolution process which is bounded, point dissipative and asymptotically compact has a global attractor. The extension of such results requires the introduction of new concepts and brings up some important differences between the asymptotic properties of autonomous and nonautonomous evolution processes. An application is considered to damped wave problem with non-autonomous damping.
publishDate 2010
dc.date.none.fl_str_mv 2010
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/23665
https://doi.org/10.1016/j.na.2009.09.037
url http://hdl.handle.net/11441/23665
https://doi.org/10.1016/j.na.2009.09.037
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Nonlinear Analysis, 10(4), 491-513
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.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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score 15.301603

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