VARIATIONAL PARABOLIC CAPACITY

被引：6

作者：

Avelin, Benny ^{[1
]}

Kuusi, Tuomo ^{[2
]}

Parviainen, Mikko ^{[1
]}

机构：

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

[2] Aalto Univ, Sch Sci, Dept Math & Syst Anal, FI-00076 Aalto, Finland

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2015年 / 35卷 / 12期

基金：

芬兰科学院;

关键词：

Capacity; degenerate parabolic equations; nonlinear potential theory; p-parabolic equation; REMOVABLE SINGULARITIES; DEGENERATE;

D O I：

10.3934/dcds.2015.35.5665

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a variational parabolic capacity in a context of degenerate parabolic equations of p-Laplace type, and show that this capacity is equivalent to the nonlinear parabolic capacity. As an application, we estimate the capacities of several explicit sets.

引用

页码：5665 / 5688

页数：24

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