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2007 Movement of hot spots on the exterior domain of a ball under the Dirichlet boundary condition
Kazuhiro Ishige
Adv. Differential Equations 12(10): 1135-1166 (2007).

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 $t\to\infty$. In particular, we give a rate for the hot spots to run away from the boundary of the domain as $t\to\infty$. Furthermore we give a sufficient condition for the hot spots to consist of only one point after a finite time.

Citation

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Kazuhiro Ishige. "Movement of hot spots on the exterior domain of a ball under the Dirichlet boundary condition." Adv. Differential Equations 12 (10) 1135 - 1166, 2007.

Information

Published: 2007
First available in Project Euclid: 29 April 2013

zbMATH: 1152.35321
MathSciNet: MR2362266

Subjects:
Primary: 35K05
Secondary: 35B40

Rights: Copyright © 2007 Khayyam Publishing, Inc.

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Vol.12 • No. 10 • 2007
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