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
收藏
页码：1 / 19
页数：19
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