Asymptotic Behavior of a Class of Degenerate Parabolic Equations

被引：4

作者：

Li, Hongtao ^{[2
]}

Ma, Shan ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

[2] Lanzhou Jiaotong Univ, Sch Traff & Transportat, Lanzhou 730070, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

基金：

美国国家科学基金会;

关键词：

LONG-TIME BEHAVIOR; GLOBAL ATTRACTORS; GINZBURG-LANDAU; EXISTENCE; CONVERGENCE;

D O I：

10.1155/2012/673605

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the asymptotic behavior of solutions of a class of degenerate parabolic equations in a bounded domain Omega subset of R-n (n >= 2) with a polynomial growth nonlinearity of arbitrary order. The existence of global attractors is proved in L-2(Omega), L-p(Omega), and H-0(1,a)(Omega), respectively, when H-0(1,a)(Omega) can be just compactly embedded into L-r(Omega) (r < 2) but not L-2(Omega).

引用

页数：15

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