On the viscosity solutions to Trudinger's equation

被引：10
|
作者：
Bhattacharya, Tilak [1 ]
Marazzi, Leonardo [2 ]
机构：
[1] Western Kentucky Univ, Dept Math, Bowling Green, KY 42101 USA
[2] Savannah Coll Arts & Design, Dept Liberal Arts, Savannah, GA 31401 USA
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2015年 / 22卷 / 05期
关键词：
NONLINEAR PARABOLIC EQUATIONS;
D O I：
10.1007/s00030-015-0315-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence of positive viscosity solutions to Trudinger's equation for cylindrical domains , where is a bounded domain, T > 0 and . We show existence for general domains when . For , we prove existence for domains that satisfy a uniform outer ball condition. We achieve this by constructing suitable sub-solutions and super-solutions and applying Perron's method.
引用
收藏
页码：1089 / 1114
页数：26
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