Existence of pullback attractors for pullback asymptotically compact processes
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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| Data(s) |
20/10/2012
20/10/2012
2010
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| Resumo |
This paper is concerned with the existence of pullback attractors for evolution processes. Our aim is to provide results that extend the following results for autonomous evolution processes (semigroups) (i) An autonomous evolution process which is bounded, dissipative and asymptotically compact has a global attractor. (ii) An autonomous evolution process which is bounded, point dissipative and asymptotically compact has a global attractor. The extension of such results requires the introduction of new concepts and brings up some important differences between the asymptotic properties of autonomous and non-autonomous evolution processes. An application to damped wave problem with non-autonomous damping is considered. (C) 2009 Elsevier Ltd. All rights reserved. Ministerio de Ciencia e Innovacion[MTM2008-0088] Ministerio de Ciencia e Innovacion Ministerio de Ciencia e Innovacion Ministerio de Ciencia e Innovacion[PBH2006-0003-PC] Junta de Andalucia (Spain) Junta de Andalucia[P07-FQM-02468] Junta de Andalucia (Spain) Junta de Andalucia[FQM314] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq[305447/2005-0] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq[451761/2008-1] DGU Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) CAPES/DGU[267/2008] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) FAPESP[2008/53094-4] |
| Identificador |
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v.72, n.3/Abr, p.1967-1976, 2010 0362-546X http://producao.usp.br/handle/BDPI/28825 10.1016/j.na.2009.09.037 |
| Idioma(s) |
eng |
| Publicador |
PERGAMON-ELSEVIER SCIENCE LTD |
| Relação |
Nonlinear Analysis-theory Methods & Applications |
| Direitos |
restrictedAccess Copyright PERGAMON-ELSEVIER SCIENCE LTD |
| Palavras-Chave | #Pullback attractors #Pullback asymptotic compactness #Non-autonomous dynamical systems #Evolution processes #Mathematics, Applied #Mathematics |
| Tipo |
article original article publishedVersion |
