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 .
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页码：1843 / 1861
页数：19
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