Attractors for Stochastic Lattice Dynamical Systems with a Multiplicative Noise

In this paper, we consider a stochastic lattice di®erential equation with di®usive nearest neighbor interaction, a dissipative nonlinear reaction term, and a multiplicative white noise at each node. We prove the existence of a compact global random attractor which pulled back attracts tempered rando...

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Authors: Caraballo Garrido, Tomás, Lu, Kening
Format: article
Publication Date:2008
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23654
Online Access:http://hdl.handle.net/11441/23654
https://doi.org/10.1007/s11464-008-0028-7
Access Level:Open access
Keyword:Stochastic lattice di®erential equations
random attractors
multiplicative noise
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spelling Attractors for Stochastic Lattice Dynamical Systems with a Multiplicative NoiseCaraballo Garrido, TomásLu, KeningStochastic lattice di®erential equationsrandom attractorsmultiplicative noiseIn this paper, we consider a stochastic lattice di®erential equation with di®usive nearest neighbor interaction, a dissipative nonlinear reaction term, and a multiplicative white noise at each node. We prove the existence of a compact global random attractor which pulled back attracts tempered random bounded sets.Ecuaciones Diferenciales y Análisis Numérico2008info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/23654https://doi.org/10.1007/s11464-008-0028-7reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésFrontiers of Mathematics In China, 3(3), 317-335info:eu-repo/semantics/openAccessoai:idus.us.es:11441/236542026-06-17T12:51:07Z
dc.title.none.fl_str_mv Attractors for Stochastic Lattice Dynamical Systems with a Multiplicative Noise
title Attractors for Stochastic Lattice Dynamical Systems with a Multiplicative Noise
spellingShingle Attractors for Stochastic Lattice Dynamical Systems with a Multiplicative Noise
Caraballo Garrido, Tomás
Stochastic lattice di®erential equations
random attractors
multiplicative noise
title_short Attractors for Stochastic Lattice Dynamical Systems with a Multiplicative Noise
title_full Attractors for Stochastic Lattice Dynamical Systems with a Multiplicative Noise
title_fullStr Attractors for Stochastic Lattice Dynamical Systems with a Multiplicative Noise
title_full_unstemmed Attractors for Stochastic Lattice Dynamical Systems with a Multiplicative Noise
title_sort Attractors for Stochastic Lattice Dynamical Systems with a Multiplicative Noise
dc.creator.none.fl_str_mv Caraballo Garrido, Tomás
Lu, Kening
author Caraballo Garrido, Tomás
author_facet Caraballo Garrido, Tomás
Lu, Kening
author_role author
author2 Lu, Kening
author2_role author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
dc.subject.none.fl_str_mv Stochastic lattice di®erential equations
random attractors
multiplicative noise
topic Stochastic lattice di®erential equations
random attractors
multiplicative noise
description In this paper, we consider a stochastic lattice di®erential equation with di®usive nearest neighbor interaction, a dissipative nonlinear reaction term, and a multiplicative white noise at each node. We prove the existence of a compact global random attractor which pulled back attracts tempered random bounded sets.
publishDate 2008
dc.date.none.fl_str_mv 2008
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/23654
https://doi.org/10.1007/s11464-008-0028-7
url http://hdl.handle.net/11441/23654
https://doi.org/10.1007/s11464-008-0028-7
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Frontiers of Mathematics In China, 3(3), 317-335
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 15,300719