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
收藏
页码：195 / 212
页数：18
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