Regularity of Global Attractor for the Reaction-Diffusion Equation

被引：0
作者：
Luo, Hong [1 ]
机构：
[1] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Sichuan, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
基金：
中国国家自然科学基金;
关键词：
PATTERN-FORMATION; EXISTENCE;
D O I：
10.1155/2012/917190
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using an iteration procedure, regularity estimates for the linear semigroups, and a classical existence theorem of global attractor, we prove that the reaction-diffusion equation possesses a global attractor in Sobolev space H-k for all k > 0, which attracts any bounded subset of H-k (Omega) in the H-k-norm.
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页数：16
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