Exponential attractors for a nonlocal delayed reaction-diffusion equation on an unbounded domain

The main objective of this paper is to investigate exponential attractors for a nonlocal delayed reaction-diffusion equation on an unbounded domain. We first obtain the existence of a globally attractive absorbing set for the dynamical system generated by the equation under the assumption that the n...

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Detalles Bibliográficos
Autores: Hu, Wenjie, Caraballo Garrido, Tomás
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2024
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/164624
Acceso en línea:https://hdl.handle.net/11441/164624
https://doi.org/10.1090/proc/16978
Access Level:acceso abierto
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spelling Exponential attractors for a nonlocal delayed reaction-diffusion equation on an unbounded domainHu, WenjieCaraballo Garrido, TomásThe main objective of this paper is to investigate exponential attractors for a nonlocal delayed reaction-diffusion equation on an unbounded domain. We first obtain the existence of a globally attractive absorbing set for the dynamical system generated by the equation under the assumption that the nonlinear term is bounded. Then, we construct exponential attractors of the equation directly in its natural phase space, i.e., a Banach space with explicit fractal dimension by combining squeezing properties of the system as well as a covering lemma of finite dimensional subspaces of a Banach space. Our result generalizes the methods established in Hilbert spaces and weighted spaces, and the fractal dimension of the obtained exponential attractor does not depend on the entropy number but only depends on some inner characteristic of the studied equation.AMSEcuaciones Diferenciales y Análisis NuméricoFQM314: Análisis Estocástico de Sistemas Diferenciales2024info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/164624https://doi.org/10.1090/proc/16978reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésProceedings of the American Mathematical Society, 152 (11), 4785-4797.https://doi.org/10.1090/proc/16978info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1646242026-06-17T12:51:07Z
dc.title.none.fl_str_mv Exponential attractors for a nonlocal delayed reaction-diffusion equation on an unbounded domain
title Exponential attractors for a nonlocal delayed reaction-diffusion equation on an unbounded domain
spellingShingle Exponential attractors for a nonlocal delayed reaction-diffusion equation on an unbounded domain
Hu, Wenjie
title_short Exponential attractors for a nonlocal delayed reaction-diffusion equation on an unbounded domain
title_full Exponential attractors for a nonlocal delayed reaction-diffusion equation on an unbounded domain
title_fullStr Exponential attractors for a nonlocal delayed reaction-diffusion equation on an unbounded domain
title_full_unstemmed Exponential attractors for a nonlocal delayed reaction-diffusion equation on an unbounded domain
title_sort Exponential attractors for a nonlocal delayed reaction-diffusion equation on an unbounded domain
dc.creator.none.fl_str_mv Hu, Wenjie
Caraballo Garrido, Tomás
author Hu, Wenjie
author_facet Hu, Wenjie
Caraballo Garrido, Tomás
author_role author
author2 Caraballo Garrido, Tomás
author2_role author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM314: Análisis Estocástico de Sistemas Diferenciales
description The main objective of this paper is to investigate exponential attractors for a nonlocal delayed reaction-diffusion equation on an unbounded domain. We first obtain the existence of a globally attractive absorbing set for the dynamical system generated by the equation under the assumption that the nonlinear term is bounded. Then, we construct exponential attractors of the equation directly in its natural phase space, i.e., a Banach space with explicit fractal dimension by combining squeezing properties of the system as well as a covering lemma of finite dimensional subspaces of a Banach space. Our result generalizes the methods established in Hilbert spaces and weighted spaces, and the fractal dimension of the obtained exponential attractor does not depend on the entropy number but only depends on some inner characteristic of the studied equation.
publishDate 2024
dc.date.none.fl_str_mv 2024
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/11441/164624
https://doi.org/10.1090/proc/16978
url https://hdl.handle.net/11441/164624
https://doi.org/10.1090/proc/16978
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Proceedings of the American Mathematical Society, 152 (11), 4785-4797.
https://doi.org/10.1090/proc/16978
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 AMS
publisher.none.fl_str_mv AMS
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
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