The existence of a solution to a class of degenerate parabolic variational inequalities

被引：2

作者：

Sun, Yudong ^{[1
]}

Shi, Yimin ^{[2
]}

机构：

[1] Guizhou Minzu Univ, Sch Sci, Guiyang 550025, Guizhou, Peoples R China

[2] Northwestern Polytech Univ, Sch Sci, Xian 710072, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

parabolic variational inequality; weak solution; penalty method; existence;

D O I：

10.1186/s13660-015-0727-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the degenerate parabolic variational inequality problem in a bounded domain. First, the weak solutions of the variational inequality are defined. Second, the existence of the solutions in the weak sense are proved by using the penalty method and the reduction method.

引用

页数：11

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