On nonlinear evolution variational inequalities involving variable exponent

被引：0

作者：

Xiang, Mingqi ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2013年 / 72期

基金：

中国国家自然科学基金;

关键词：

quasilinear evolution variational inequality; variable exponent space; penalty method; extinction; global attractor; PARABOLIC EQUATIONS; EXISTENCE; ATTRACTORS; UNIQUENESS; SEMIFLOWS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss a class of quasilinear evolution variational inequalities with variable exponent growth conditions in a generalized Sobolev space. We obtain the existence of weak solutions by means of penalty method. Moreover, we study the extinction properties of weak solutions to parabolic in- equalities and provide a sufficient condition that makes the weak solutions vanish in a finite time. The existence of global attractors for weak solutions is also obtained via the theories of multi-valued semiflow.

引用

页码：1 / 19

页数：19

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