WEAK SOLUTIONS FOR QUASILINEAR DEGENERATE PARABOLIC SYSTEMS

被引：0

作者：

Yao, Zheng'An ^{[1
]}

Zhou, Wenshu ^{[2
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

[2] Jilin Univ, Dept Math, Changchun 130012, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年

关键词：

Quasilinear degenerate parabolic system; weak solution; existence; uniqueness; asymptotic behavior;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the initial Dirichlet boundary-value problem for a class of quasilinear degenerate parabolic systems. Due to the degeneracies, the problem does not have classical solutions in general. Combining the special form of the system, a proper concept of a weak solution is presented, then the existence and uniqueness of weak solutions are proved. Moreover, the asymptotic behavior of weak solutions will also be discussed.

引用

页数：18

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