Random attractors for stochastic delay wave equations on Rn with linear memory nad nonlinear damping

A non-autonomous stochastic delay wave equation with linear memory and nonlinear damping driven by additive white noise is considered on the unbounded domain Rn. We establish the existence and uniqueness of a random attractor A that is compact in C([−h, 0]; H1 (Rn)) × C([−h, 0]; L2 (Rn)) × L2 µ(R+;...

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Autores: Wang, Jingyu, Wang, Yejuan, Yang, Lin, Caraballo Garrido, Tomás
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/137475
Acesso em linha:https://hdl.handle.net/11441/137475
https://doi.org/10.3934/dcdss.2021141
Access Level:acceso abierto
Palavra-chave:Random attractor
stochastic delay wave equation
linear memory
nonlinear damping
pullback asymptotic compactness
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spelling Random attractors for stochastic delay wave equations on Rn with linear memory nad nonlinear dampingWang, JingyuWang, YejuanYang, LinCaraballo Garrido, TomásRandom attractorstochastic delay wave equationlinear memorynonlinear dampingpullback asymptotic compactnessA non-autonomous stochastic delay wave equation with linear memory and nonlinear damping driven by additive white noise is considered on the unbounded domain Rn. We establish the existence and uniqueness of a random attractor A that is compact in C([−h, 0]; H1 (Rn)) × C([−h, 0]; L2 (Rn)) × L2 µ(R+; H1 (Rn)) with 1 6 n 6 3.AIMSEcuaciones Diferenciales y Análisis NuméricoFQM314: Análisis Estocástico de Sistemas Diferenciales2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/137475https://doi.org/10.3934/dcdss.2021141reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésAmerican institute of mathematical sciences, 15 (10), 3025-3057.https://doi.org/10.3934/dcdss.2021141info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1374752026-06-17T12:51:07Z
dc.title.none.fl_str_mv Random attractors for stochastic delay wave equations on Rn with linear memory nad nonlinear damping
title Random attractors for stochastic delay wave equations on Rn with linear memory nad nonlinear damping
spellingShingle Random attractors for stochastic delay wave equations on Rn with linear memory nad nonlinear damping
Wang, Jingyu
Random attractor
stochastic delay wave equation
linear memory
nonlinear damping
pullback asymptotic compactness
title_short Random attractors for stochastic delay wave equations on Rn with linear memory nad nonlinear damping
title_full Random attractors for stochastic delay wave equations on Rn with linear memory nad nonlinear damping
title_fullStr Random attractors for stochastic delay wave equations on Rn with linear memory nad nonlinear damping
title_full_unstemmed Random attractors for stochastic delay wave equations on Rn with linear memory nad nonlinear damping
title_sort Random attractors for stochastic delay wave equations on Rn with linear memory nad nonlinear damping
dc.creator.none.fl_str_mv Wang, Jingyu
Wang, Yejuan
Yang, Lin
Caraballo Garrido, Tomás
author Wang, Jingyu
author_facet Wang, Jingyu
Wang, Yejuan
Yang, Lin
Caraballo Garrido, Tomás
author_role author
author2 Wang, Yejuan
Yang, Lin
Caraballo Garrido, Tomás
author2_role author
author
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 attractor
stochastic delay wave equation
linear memory
nonlinear damping
pullback asymptotic compactness
topic Random attractor
stochastic delay wave equation
linear memory
nonlinear damping
pullback asymptotic compactness
description A non-autonomous stochastic delay wave equation with linear memory and nonlinear damping driven by additive white noise is considered on the unbounded domain Rn. We establish the existence and uniqueness of a random attractor A that is compact in C([−h, 0]; H1 (Rn)) × C([−h, 0]; L2 (Rn)) × L2 µ(R+; H1 (Rn)) with 1 6 n 6 3.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/137475
https://doi.org/10.3934/dcdss.2021141
url https://hdl.handle.net/11441/137475
https://doi.org/10.3934/dcdss.2021141
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv American institute of mathematical sciences, 15 (10), 3025-3057.
https://doi.org/10.3934/dcdss.2021141
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 AIMS
publisher.none.fl_str_mv AIMS
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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