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The existence of global attractors for a class of nonlinear dissipative evolution equations

Published online by Cambridge University Press:  12 July 2007

Eduardo Arbieto Alarcon  and
Rafael José Iorio Jr
Eduardo Arbieto Alarcon
Affiliation:
Departamento de Matemática, Universidade Federal de Goiás, Prédio da Reitoria CEP 74001-970, Caixa Postal 131, Goiânia, Goiás and Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Rio de Janeiro 22460-320, Brazil
Rafael José Iorio Jr
Affiliation:
Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Rio de Janeiro 22460-320, Brazil
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Abstract

In this work we consider the Cauchy problem associated with dissipative perturbations of infinite-dimensional Hamiltonian systems. we describe abstract conditions under which the problem is locally and globally well posed. Moreover, we establish the existence of global attractor. Finally, we present several applications of the theory.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 5 , October 2005 , pp. 887 - 913
Copyright
Copyright © Royal Society of Edinburgh 2005

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