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

Suzuki, Noriaki; Watson, Neil

doi:10.1090/S0002-9939-01-05859-2

A characterization of heat balls by a mean value property for temperatures
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by Noriaki Suzuki and Neil A. Watson PDF

Proc. Amer. Math. Soc. 129 (2001), 2709-2713 Request permission

Abstract:

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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