PARABOLIC EQUATIONS RELATIVE TO VECTOR FIELDS

被引：0
|
作者：
Bieske, Thomas [1 ]
机构：
[1] Univ S Florida, Dept Math, Tampa, FL 33620 USA
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年
关键词：
Viscosity solutions; vector fields; parabolic equations;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We define two notions of viscosity solutions to parabolic equations defined using vector fields, depending on whether the test functions concern only the past or both the past and the future. Using the parabolic maximum principle for vector fields, we then prove a comparison principle for a class of parabolic equations and show the sufficiency of considering the test functions that concern only the past.
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页数：7
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