Weak mean random attractors for non-local random and stochastic reaction-diffusion equations

In this paper, we prove the existence of weak pullback mean random attractors for a non-local stochastic reaction-diffusion equation with a nonlinear multiplicative noise. The existence and uniqueness of solutions and weak pullback mean random attractors are also established for a deterministic non-...

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Detalles Bibliográficos
Autores: Caballero, Rubén, Marín Rubio, Pedro, Valero, José
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/162565
Acceso en línea:https://hdl.handle.net/11441/162565
https://doi.org/10.1142/S0219493722400160
Access Level:acceso abierto
Palabra clave:mean random attractor
pullback attractor
stochastic reaction-diffusion equation
non-local equation
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spelling Weak mean random attractors for non-local random and stochastic reaction-diffusion equationsCaballero, RubénMarín Rubio, PedroValero, Josémean random attractorpullback attractorstochastic reaction-diffusion equationnon-local equationIn this paper, we prove the existence of weak pullback mean random attractors for a non-local stochastic reaction-diffusion equation with a nonlinear multiplicative noise. The existence and uniqueness of solutions and weak pullback mean random attractors are also established for a deterministic non-local reaction-diffusion equations with random initial data.World scientificEcuaciones Diferenciales y Análisis NuméricoFQM314: Análisis Estocástico de Sistemas Diferenciales2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/162565https://doi.org/10.1142/S0219493722400160reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésStochastics and Dynamics, 22 (3), 2240016-1.https://dx.doi.org/10.1142/S0219493722400160info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1625652026-06-17T12:51:07Z
dc.title.none.fl_str_mv Weak mean random attractors for non-local random and stochastic reaction-diffusion equations
title Weak mean random attractors for non-local random and stochastic reaction-diffusion equations
spellingShingle Weak mean random attractors for non-local random and stochastic reaction-diffusion equations
Caballero, Rubén
mean random attractor
pullback attractor
stochastic reaction-diffusion equation
non-local equation
title_short Weak mean random attractors for non-local random and stochastic reaction-diffusion equations
title_full Weak mean random attractors for non-local random and stochastic reaction-diffusion equations
title_fullStr Weak mean random attractors for non-local random and stochastic reaction-diffusion equations
title_full_unstemmed Weak mean random attractors for non-local random and stochastic reaction-diffusion equations
title_sort Weak mean random attractors for non-local random and stochastic reaction-diffusion equations
dc.creator.none.fl_str_mv Caballero, Rubén
Marín Rubio, Pedro
Valero, José
author Caballero, Rubén
author_facet Caballero, Rubén
Marín Rubio, Pedro
Valero, José
author_role author
author2 Marín Rubio, Pedro
Valero, José
author2_role 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 mean random attractor
pullback attractor
stochastic reaction-diffusion equation
non-local equation
topic mean random attractor
pullback attractor
stochastic reaction-diffusion equation
non-local equation
description In this paper, we prove the existence of weak pullback mean random attractors for a non-local stochastic reaction-diffusion equation with a nonlinear multiplicative noise. The existence and uniqueness of solutions and weak pullback mean random attractors are also established for a deterministic non-local reaction-diffusion equations with random initial data.
publishDate 2021
dc.date.none.fl_str_mv 2021
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 https://hdl.handle.net/11441/162565
https://doi.org/10.1142/S0219493722400160
url https://hdl.handle.net/11441/162565
https://doi.org/10.1142/S0219493722400160
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Stochastics and Dynamics, 22 (3), 2240016-1.
https://dx.doi.org/10.1142/S0219493722400160
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 World scientific
publisher.none.fl_str_mv World scientific
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 15,198674

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