Large time behaviors of hot spots for the heat equation with a potential |
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| Authors: | Kazuhiro Ishige Yoshitsugu Kabeya |
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| Institution: | a Mathematical Institute, Tohoku University, Aoba, Sendai 980-8578, Japan
b Department of Mathematical Sciences, Osaka Prefecture University, Sakai 599-8531, Japan |
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| Abstract: | We consider the Cauchy problem of the heat equation with a potential which behaves like the inverse square at infinity. In this paper we study the large time behavior of hot spots of the solutions for the Cauchy problem, by using the asymptotic behavior of the potential at the space infinity. |
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| Keywords: | 35B40 35K05 35K15 |
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