On Global Attractors for a Class of Parabolic Problems

被引：2
|
作者：
Figueroa-Lopez, Rodiak [1 ]
Lozada-Cruz, German [1 ]
机构：
[1] Univ Estadual Paulista, UNESP, IBILCE, Dept Matemat, BR-15054000 Sao Paulo, Brazil
来源：
APPLIED MATHEMATICS & INFORMATION SCIENCES | 2014年 / 8卷 / 02期
基金：
巴西圣保罗研究基金会;
关键词：
Parabolic equation; sectorial operator; global attractor; uniform boundness; NONLINEAR BOUNDARY-CONDITIONS;
D O I：
10.12785/amis/080206
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：493 / 500
页数：8
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