Abstract

This paper is devoted to study the existence of global attractor in H 1 0 (Ω) and uniform bounds of it in L ∞ (Ω) for a class of parabolic problems with homogeneous boundary conditions wich involves a uniform strongly elliptic operator of second order in the domain Ω � R n . The main tools used to prove the existence of global attractor are the techn iques 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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