On quasilinear parabolic equations involving weighted p-Laplacian operators

被引：32

作者：

Cung The Anh ^{[1
]}

Tran Dinh Ke ^{[1
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, Hanoi, Vietnam

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2010年 / 17卷 / 02期

关键词：

Degenerate parabolic equation; m-semiflow; Global solution; Global attractor; Compact embedding; Weighted p-Laplacian operator; GLOBAL ATTRACTORS; ASYMPTOTIC-BEHAVIOR; SEMIFLOWS; EXISTENCE;

D O I：

10.1007/s00030-009-0048-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the initial boundary value problem for a class of quasilinear parabolic equations involving weighted p-Laplacian operators in an arbitrary domain, in which the conditions imposed on the non-linearity provide the global existence, but not uniqueness of solutions. The long-time behavior of the solutions to that problem is considered via the concept of global attractor for multi-valued semiflows. The obtained results recover and extend some known results related to the p-Laplacian equations.

引用

页码：195 / 212

页数：18

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