On a comparison principle for Trudinger's equation

被引：5

作者：

Lindgren, Erik ^{[1
]}

Lindqvist, Peter ^{[2
]}

机构：

[1] Uppsala Univ, Dept Math, Box 480, S-75106 Uppsala, Sweden

[2] Norwegian Univ Sci & Technol, Dept Math Sci, N-7491 Trondheim, Norway

来源：

ADVANCES IN CALCULUS OF VARIATIONS | 2022年 / 15卷 / 03期

基金：

瑞典研究理事会;

关键词：

Trudinger's equation; doubly non-linear equations; uniqueness; asymptotics; VISCOSITY SOLUTIONS; LOCAL BEHAVIOR;

D O I：

10.1515/acv-2019-0095

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the comparison principle for non-negative solutions of the equation partial derivative(vertical bar v vertical bar(p-2)v)/partial derivative t = div(vertical bar del v vertical bar(p-2)del v), 1 < p < infinity. This equation is related to extremals of Poincare inequalities in Sobolev spaces. We apply our result to obtain pointwise control of the large time behavior of solutions.

引用

页码：401 / 415

页数：15

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