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.

引用

页数：16

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