A boundary estimate for singular parabolic diffusion equations

被引：12

作者：

Gianazza, Ugo ^{[1
]}

Liao, Naian ^{[2
]}

Lukkari, Teemu ^{[3
]}

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, Via Ferrata 5, I-27100 Pavia, Italy

[2] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

[3] Aalto Univ, Dept Math, POB 11100, Espoo 00076, Finland

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2018年 / 25卷 / 04期

关键词：

Parabolic p-Laplacian; Boundary estimates; Continuity; Elliptic p-capacity; Wiener-type integral; WEAK SUPERSOLUTIONS; DEGENERATE; REGULARITY;

D O I：

10.1007/s00030-018-0523-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove an estimate on the modulus of continuity at a boundary point of a cylindrical domain for local weak solutions to singular parabolic equations of p-Laplacian type. The estimate is given in terms of a Wiener-type integral, defined by a proper elliptic p-capacity.

引用

页数：24

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