Hot spots of solutions to the heat equation with inverse square potential

被引：4

作者：

Ishige, Kazuhiro ^{[1
]}

Kabeya, Yoshitsugu ^{[2
]}

Mukai, Asato ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Tokyo, Japan

[2] Osaka Prefecture Univ, Dept Math Sci, Sakai, Osaka, Japan

来源：

APPLICABLE ANALYSIS | 2019年 / 98卷 / 10期

基金：

日本学术振兴会;

关键词：

Hot spots; heat equation; inverse square potential; LARGE TIME BEHAVIOR; KERNEL; CRITICALITY; MOVEMENT; INEQUALITY; OPERATOR; BOUNDS; DOMAIN; NORMS;

D O I：

10.1080/00036811.2018.1466284

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the large time behavior of the hot spots of the solution to the Cauchy problem where and decays quadratically as . In this paper, based on the arguments in [K. Ishige and A. Mukai, to appear in Discrete Contin. Dyn. Syst.], we classify the large time behavior of the hot spots of u and reveal the relationship between the behavior of the hot spots and the harmonic functions for .

引用

页码：1843 / 1861

页数：19

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