Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities

In this paper we study the asymptotic behavior of solutions of a first-order stochastic lattice dynamical system with a multiplicative noise. We do not assume any Lipschitz condition on the nonlinear term, just a continuity assumption together with growth and dissipative conditions, so that uniquene...

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Detalles Bibliográficos
Autores: Caraballo Garrido, Tomás, Morillas, F., Valero, J.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/138663
Acceso en línea:https://hdl.handle.net/11441/138663
https://doi.org/10.1016/j.jde.2012.03.020
Access Level:acceso abierto
Palabra clave:Stochastic lattice differential equations
Random attractors
Multiplicative noise
Set-valued dynamical system
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spelling Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearitiesCaraballo Garrido, TomásMorillas, F.Valero, J.Stochastic lattice differential equationsRandom attractorsMultiplicative noiseSet-valued dynamical systemIn this paper we study the asymptotic behavior of solutions of a first-order stochastic lattice dynamical system with a multiplicative noise. We do not assume any Lipschitz condition on the nonlinear term, just a continuity assumption together with growth and dissipative conditions, so that uniqueness of the Cauchy problem fails to be true. Using the theory of multi-valued random dynamical systems we prove the existence of a random compact global attractorElsevierEcuaciones Diferenciales y Análisis NuméricoFQM314: Análisis Estocástico de Sistemas Diferenciales2012info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/138663https://doi.org/10.1016/j.jde.2012.03.020reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Differential Equations, 253 (2), 667-693.http://dx.doi.org/10.1016/j.jde.2012.03.020info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1386632026-06-17T12:51:07Z
dc.title.none.fl_str_mv Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
title Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
spellingShingle Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
Caraballo Garrido, Tomás
Stochastic lattice differential equations
Random attractors
Multiplicative noise
Set-valued dynamical system
title_short Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
title_full Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
title_fullStr Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
title_full_unstemmed Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
title_sort Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
dc.creator.none.fl_str_mv Caraballo Garrido, Tomás
Morillas, F.
Valero, J.
author Caraballo Garrido, Tomás
author_facet Caraballo Garrido, Tomás
Morillas, F.
Valero, J.
author_role author
author2 Morillas, F.
Valero, J.
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 Stochastic lattice differential equations
Random attractors
Multiplicative noise
Set-valued dynamical system
topic Stochastic lattice differential equations
Random attractors
Multiplicative noise
Set-valued dynamical system
description In this paper we study the asymptotic behavior of solutions of a first-order stochastic lattice dynamical system with a multiplicative noise. We do not assume any Lipschitz condition on the nonlinear term, just a continuity assumption together with growth and dissipative conditions, so that uniqueness of the Cauchy problem fails to be true. Using the theory of multi-valued random dynamical systems we prove the existence of a random compact global attractor
publishDate 2012
dc.date.none.fl_str_mv 2012
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/11441/138663
https://doi.org/10.1016/j.jde.2012.03.020
url https://hdl.handle.net/11441/138663
https://doi.org/10.1016/j.jde.2012.03.020
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Differential Equations, 253 (2), 667-693.
http://dx.doi.org/10.1016/j.jde.2012.03.020
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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score 15,300724

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