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

页码：969 / 979

页数：11

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