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.
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页码：401 / 415
页数：15
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