The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors

We prove an estimation of the Kolmogorov ε-entropy in H of the unitary ball in the space V, where H is a Hilbert space and V is a Sobolev-like subspace of H. Then, by means of Zelik’s result, an estimate of the fractal dimension of the attractors of some nonlinear parabolic equations is established....

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Autores: Anguiano Moreno, María, Haraux, Alain
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2017
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/73816
Acceso en línea:https://hdl.handle.net/11441/73816
https://doi.org/10.3934/eect.2017018
Access Level:acceso abierto
Palabra clave:Fractal dimension
Attractors
Entropy
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spelling The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractorsAnguiano Moreno, MaríaHaraux, AlainFractal dimensionAttractorsEntropyWe prove an estimation of the Kolmogorov ε-entropy in H of the unitary ball in the space V, where H is a Hilbert space and V is a Sobolev-like subspace of H. Then, by means of Zelik’s result, an estimate of the fractal dimension of the attractors of some nonlinear parabolic equations is established.Junta de AndalucíaEuropean Commission, Excellent Science-European Research CouncilAmerican Institute of Mathematical SciencesAnálisis MatemáticoFQM104: Análisis MatematicoJunta de AndalucíaEuropean Commission (EC)2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/73816https://doi.org/10.3934/eect.2017018reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésEvolution Equations and Control Theory, 6 (3), 345-356.P12-FQM-2466H2020-EU.1.1.-639227http://www.aimsciences.org/article/doi/10.3934/eect.2017018info:eu-repo/semantics/openAccessoai:idus.us.es:11441/738162026-06-17T12:51:07Z
dc.title.none.fl_str_mv The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors
title The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors
spellingShingle The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors
Anguiano Moreno, María
Fractal dimension
Attractors
Entropy
title_short The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors
title_full The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors
title_fullStr The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors
title_full_unstemmed The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors
title_sort The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors
dc.creator.none.fl_str_mv Anguiano Moreno, María
Haraux, Alain
author Anguiano Moreno, María
author_facet Anguiano Moreno, María
Haraux, Alain
author_role author
author2 Haraux, Alain
author2_role author
dc.contributor.none.fl_str_mv Análisis Matemático
FQM104: Análisis Matematico
Junta de Andalucía
European Commission (EC)
dc.subject.none.fl_str_mv Fractal dimension
Attractors
Entropy
topic Fractal dimension
Attractors
Entropy
description We prove an estimation of the Kolmogorov ε-entropy in H of the unitary ball in the space V, where H is a Hilbert space and V is a Sobolev-like subspace of H. Then, by means of Zelik’s result, an estimate of the fractal dimension of the attractors of some nonlinear parabolic equations is established.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/73816
https://doi.org/10.3934/eect.2017018
url https://hdl.handle.net/11441/73816
https://doi.org/10.3934/eect.2017018
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Evolution Equations and Control Theory, 6 (3), 345-356.
P12-FQM-2466
H2020-EU.1.1.-639227
http://www.aimsciences.org/article/doi/10.3934/eect.2017018
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 American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
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

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