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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


A characterization of heat balls by a mean value property for temperatures

Authors: Noriaki Suzuki and Neil A. Watson
Journal: Proc. Amer. Math. Soc. 129 (2001), 2709-2713
MSC (2000): Primary 31B10, 35K05
Published electronically: February 9, 2001
MathSciNet review: 1838795
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We discuss an inverse mean value property of solutions of the heat equation. We show that, under certain conditions, a volume mean value identity characterizes heat balls.

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Additional Information

Noriaki Suzuki
Affiliation: Graduate School of Mathematics, Nagoya University, Nagoya, 464-8602, Japan

Neil A. Watson
Affiliation: Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand

PII: S 0002-9939(01)05859-2
Keywords: Heat ball, temperature, supertemperature, mean value property, Gauss-Weierstrass kernel
Received by editor(s): July 28, 1999
Received by editor(s) in revised form: January 20, 2000
Published electronically: February 9, 2001
Communicated by: Albert Baernstein II
Article copyright: © Copyright 2001 American Mathematical Society