Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces

We derive general existence theorems for random pullback exponential attractors and deduce explicit bounds for their fractal dimension. The results are formulated for asymptotically compact random dynamical systems in Banach spaces.

Detalhes bibliográficos
Autores: Caraballo Garrido, Tomás, Sonner, Stefanie
Tipo de documento: artigo
Estado:Versión aceptada para publicación
Data de publicação:2017
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/64149
Acesso em linha:http://hdl.handle.net/11441/64149
https://doi.org/10.3934/dcds.2017277
Access Level:Acceso aberto
Palavra-chave:Random dynamical systems
Exponential attractors
Random pullback attractors
Fractal dimension
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spelling Random pullback exponential attractors: general existence results for random dynamical systems in Banach spacesCaraballo Garrido, TomásSonner, StefanieRandom dynamical systemsExponential attractorsRandom pullback attractorsFractal dimensionWe derive general existence theorems for random pullback exponential attractors and deduce explicit bounds for their fractal dimension. The results are formulated for asymptotically compact random dynamical systems in Banach spaces.Fondo Europeo de Desarrollo RegionalMinisterio de Economía y CompetitividadJunta de AndalucíaAmerican Institute of Mathematical SciencesEcuaciones Diferenciales y Análisis NuméricoFQM314: Análisis Estocástico de Sistemas Diferenciales2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/64149https://doi.org/10.3934/dcds.2017277reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésDiscrete and Continuous Dynamical Systems - Series A, 37 (12), 6383-6403.info:eu-repo/grantAgreement/MINECO/MTM2015-63723-P/P12-FQM-1492http://dx.doi.org/10.3934/dcds.2017277info:eu-repo/semantics/openAccessoai:idus.us.es:11441/641492026-06-17T12:51:07Z
dc.title.none.fl_str_mv Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces
title Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces
spellingShingle Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces
Caraballo Garrido, Tomás
Random dynamical systems
Exponential attractors
Random pullback attractors
Fractal dimension
title_short Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces
title_full Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces
title_fullStr Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces
title_full_unstemmed Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces
title_sort Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces
dc.creator.none.fl_str_mv Caraballo Garrido, Tomás
Sonner, Stefanie
author Caraballo Garrido, Tomás
author_facet Caraballo Garrido, Tomás
Sonner, Stefanie
author_role author
author2 Sonner, Stefanie
author2_role author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM314: Análisis Estocástico de Sistemas Diferenciales
dc.subject.none.fl_str_mv Random dynamical systems
Exponential attractors
Random pullback attractors
Fractal dimension
topic Random dynamical systems
Exponential attractors
Random pullback attractors
Fractal dimension
description We derive general existence theorems for random pullback exponential attractors and deduce explicit bounds for their fractal dimension. The results are formulated for asymptotically compact random dynamical systems in Banach spaces.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/64149
https://doi.org/10.3934/dcds.2017277
url http://hdl.handle.net/11441/64149
https://doi.org/10.3934/dcds.2017277
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Discrete and Continuous Dynamical Systems - Series A, 37 (12), 6383-6403.
info:eu-repo/grantAgreement/MINECO/MTM2015-63723-P/
P12-FQM-1492
http://dx.doi.org/10.3934/dcds.2017277
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 American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
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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