Boundary regularity for degenerate and singular parabolic equations

被引：19

作者：

Bjorn, Anders ^{[1
]}

Bjorn, Jana ^{[1
]}

Gianazza, Ugo ^{[2
]}

Parviainen, Mikko ^{[3
]}

机构：

[1] Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden

[2] Univ Pavia, Dept Math F Casorati, I-27100 Pavia, Italy

[3] Univ Jyvaskyla, Dept Math & Stat, Jyvaskyla 40014, Finland

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 52卷 / 3-4期

基金：

瑞典研究理事会; 芬兰科学院;

关键词：

SEMICONTINUOUS SUPERSOLUTIONS; WEAK SUPERSOLUTIONS; CRITERION; BEHAVIOR;

D O I：

10.1007/s00526-014-0734-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterise regular boundary points of the parabolic p-Laplacian in terms of a family of barriers, both when p > 2 and 1 < p < 2. By constructing suitable families of such barriers, we give some simple geometric conditions that ensure the regularity of boundary points.

引用

页码：797 / 827

页数：31

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