Hot spots of solutions to the heat equation with inverse square potential
Hot spots of solutions to the heat equation with inverse square potential
复制标题
平方反比势热方程解的热点
DOI：
10.1080/00036811.2018.1466284
复制
发表时间：
2019
影响因子：
1.1
通讯作者：
Asato Mukai
中科院分区：
文献类型：
--
作者：
Kazuhiro Ishige;Yoshitsugu Kabeya;Asato Mukai
我们研究了柯西问题∂tu-Δu+V(|x|)u=0inRN×(0，∞)，u(x，0)=φ(X)在RN中的解的热点的大时间行为，其中aS二次衰减。本文基于[K.Ishige和A.Mukai在[K.Ishige和A.Mukai]中的论证，将出现在离散Contin中。戴恩。系统)中，我们对热点的大时间行为进行了分类，揭示了热点行为与调和函数之间的关系。
We investigate the large time behavior of the hot spots of the solution to the Cauchy problem ∂tu-Δu+V(|x|)u=0inRN×(0,∞),u(x,0)=φ(x)inRN,whereanddecays 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 ofuand reveal the relationship between the behavior of the hot spots and the harmonic functions for.