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.
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页数：18
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