Sobolev space theory of parabolic equations degenerating on the boundary of C1 domains

被引：14

作者：

Kim, Kyeong-Hun ^{[1
]}

机构：

[1] Korea Univ, Dept Math, Seoul 136701, South Korea

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 32卷 / 7-9期

关键词：

C-1; domains; degenerate parabolic equations; Sobolev spaces with weights;

D O I：

10.1080/03605300600910449

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Second-order parabolic equations degenerating on the boundary of C-1 domains are considered. Existence and uniqueness results are given in weighted Sobolev spaces, and Holder estimates of the solutions are presented.

引用

页码：1261 / 1280

页数：20

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