Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Existence of pullback attractors for pullback asymptotically compact processes

Full text
Author(s):
Caraballo, Tomas [1] ; Carvalho, Alexandre N. [2] ; Langa, Jose A. [1] ; Rivero, Felipe [1]
Total Authors: 4
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 72, n. 3-4, p. 1967-1976, FEB 1 2010.
Web of Science Citations: 36
Abstract

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)