Existence of pullback attractors for pullback asymptotically compact processes

Autor(es)

Caraballo, Tomas ^[1] ; Carvalho, Alexandre N. ^[2] ; Langa, Jose A. ^[1] ; Rivero, Felipe ^[1]

Afiliação do(s) autor(es)

^[1] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, E-41080 Seville - Spain

^[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 72, n. 3-4, p. 1967-1976, FEB 1 2010.
• Citações Web of Science: 36

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. (AU)

• Processo FAPESP: 08/53094-4 - Sistemas dinâmicos em espaços de dimensão infinita sob perturbações
• Beneficiário: Alexandre Nolasco de Carvalho
• Modalidade de apoio: Bolsas no Exterior - Pesquisa