Artigo
On Global Attractors for a Class of Parabolic Problems
Registro en:
Applied Mathematics & Information Sciences. New York: Natural Sciences Publishing Corp-nsp, v. 8, n. 2, p. 493-500, 2014.
2325-0399
WOS:000331386900006
Autor
Figueroa-Lopez, Rodiak [UNESP]
Lozada-Cruz, German [UNESP]
Resumen
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]. Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Univ Estadual Paulista, UNESP, IBILCE, Dept Matemat, BR-15054000 Sao Paulo, Brazil Univ Estadual Paulista, UNESP, IBILCE, Dept Matemat, BR-15054000 Sao Paulo, Brazil FAPESP: 09/08088-9 FAPESP: 09/08435-0