Characterizations of interior polar sets for the degenerate p-parabolic equation

被引：0
|
作者：
Benny Avelin
Olli Saari
机构：
[1] Aalto University School of Science,Department of Mathematics and Systems Analysis
[2] Uppsala University,Department of Mathematics
来源：
Journal of Evolution Equations | 2017年 / 17卷
关键词：
Parabolic capacity; Degenerate parabolic equations; Nonlinear potential theory; P-parabolic equation; P-Laplace; Parabolic Hausdorff measure; Interior polar sets; Removability; Characterization; Primary 35K92; Secondary 31C45; 31C15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper deals with different characterizations of sets of nonlinear parabolic capacity zero, with respect to the parabolic p-Laplace equation. Specifically we prove that certain interior polar sets can be characterized by sets of zero nonlinear parabolic capacity. Furthermore we prove that zero capacity sets are removable for bounded supersolutions and that sets of zero capacity have a relation to a certain parabolic Hausdorff measure.
引用
收藏
页码：827 / 848
页数：21
相关论文
共 50 条
12345