Pullback exponential attractors for evolution processes in Banach spaces: properties and applications


Autoria(s): Carvalho, Alexandre Nolasco de; Sonner, Stefanie
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

07/04/2014

07/04/2014

01/05/2014

Resumo

This article is a continuation of our previous work [5], where we formulated general existence theorems for pullback exponential attractors for asymptotically compact evolution processes in Banach spaces and discussed its implications in the autonomous case. We now study properties of the attractors and use our theoretical results to prove the existence of pullback exponential attractors in two examples, where previous results do not apply.

CNPq processo 302022/2008-2

CAPES/DGU processo 267/2008

FAPESP processo 2008/55516-3

ERC Advanced Grant FPT-246775 NUMERIWAVES

Continuação de: Carvalho, A.N.; Sonner, S. Pullback exponential attractors for evolution processes in Banach spaces: theoretical results. Communications on Pure and Applied Analysis, v.12, n.6, p.3047-3071, 2013.

Identificador

Communications on Pure and Applied Analysis, Springfield, v.13, n.3, p.1141-1165, 2014

http://www.producao.usp.br/handle/BDPI/44397

10.3934/cpaa.2014.13.1141

http://dx.doi.org/10.3934/cpaa.2014.13.1141

Idioma(s)

eng

Publicador

American Institute of Mathematical Sciences - AIMS

Springfield

Relação

Communications on Pure and Applied Analysis

Direitos

restrictedAccess

Copyright AIMS

Palavras-Chave #Exponential attractors #Non-autonomous dynamical systems #Pullback and forwards attractors #Non-autonomous Chafee-Infante equation #Non-autonomous damped wave equation #EQUAÇÕES DIFERENCIAIS ORDINÁRIAS #EQUAÇÕES DIFERENCIAIS FUNCIONAIS #EQUAÇÕES DIFERENCIAIS PARCIAIS #SISTEMAS DINÂMICOS
Tipo

article

original article

publishedVersion