TIME-DEPENDENT SINGULARITIES IN THE HEAT EQUATION

被引：17
|
作者：
Takahashi, Jin [1 ]
Yanagida, Eiji [1 ]
机构：
[1] Tokyo Inst Technol, Dept Math, Meguro Ku, Tokyo 1528551, Japan
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2015年 / 14卷 / 03期
关键词：
Heat equation; time-dependent singularity; removable singularity; asymptotic behavior; Holder continuity; SEMILINEAR PARABOLIC EQUATIONS; LINEAR ELLIPTIC-EQUATIONS; REMOVABLE SINGULARITIES;
D O I：
10.3934/cpaa.2015.14.969
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider solutions of the heat equation with time-dependent singularities. It is shown that a singularity is removable if it is weaker than the order of the fundamental solution of the Laplace equation. Some examples of non-removable singularities are also given, which show the optimality of the condition for removability.
引用
收藏
页码：969 / 979
页数：11
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