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Exponential global attractors for semigroups in metric spaces with applications to differential equations

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Autor(es):
Carvalho, Alexandre N. ; Cholewa, Jan W.
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: Ergodic Theory and Dynamical Systems; v. 31, p. 27-pg., 2011-12-01.
Resumo

In this article semigroups in a general metric space V, which have pointwise exponentially attracting local unstable manifolds of compact invariant sets, are considered. We show that under a suitable set of assumptions these semigroups possess strong exponential dissipative properties. In particular, there exists a compact global attractor which exponentially attracts each bounded subset of V. Applications of abstract results to ordinary and partial differential equations are given. (AU)

Processo FAPESP: 09/52687-4 - Jan Wladyslaw Cholewa | University of Silesia - Polônia
Beneficiário:Alexandre Nolasco de Carvalho
Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional
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