Movement of hot spots on the exterior domain of a ball under the Dirichlet boundary condition

Kazuhiro Ishige

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

We consider the Cauchy-Dirichlet problem of the heat equation in the exterior domain of a ball, and study the movement of hot spots H(t) as t → ∞. In particular, we give a rate for the hot spots to run away from the boundary of the domain as t → ∞. Furthermore we give a sufficient condition for the hot spots to consist of only one point after a finite time.

Original languageEnglish
Pages (from-to)1135-1166
Number of pages32
JournalAdvances in Differential Equations
Volume12
Issue number10
Publication statusPublished - 2007 Dec 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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