Large time behaviors of hot spots for the heat equation with a potential

Kazuhiro Ishige, Yoshitsugu Kabeya

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)2934-2962
Number of pages29
JournalJournal of Differential Equations
Volume244
Issue number11
DOIs
Publication statusPublished - 2008 Jun 1

Keywords

  • Asymptotic behavior
  • Harmonic functions
  • Heat equations
  • Hot spots
  • Potential

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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