On Global Attractors for a Class of Parabolic Problems
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Data
2014-03-01
Autores
Figueroa-Lopez, Rodiak [UNESP]
Lozada-Cruz, German [UNESP]
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Editor
Natural Sciences Publishing Corp-nsp
Resumo
This paper is devoted to study the existence of global attractor in H-0(1)(Omega) and uniform bounds of it in L-infinity(Omega) for a class of parabolic problems with homogeneous boundary conditions wich involves a uniform strongly elliptic operator of second order in the domain Omega subset of R-n. The main tools used to prove the existence of global attractor are the techniques used in Hale [8] and Cholewa [5], and for the uniform bound of the attractor we use the Alikakos-Moser iteration procedure [1].
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Palavras-chave
Parabolic equation, sectorial operator, global attractor, uniform boundness
Como citar
Applied Mathematics & Information Sciences. New York: Natural Sciences Publishing Corp-nsp, v. 8, n. 2, p. 493-500, 2014.