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A characterization of heat balls by a mean value property for temperatures |
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| Authors: | Noriaki Suzuki Neil A. Watson |
| Affiliation: | Graduate School of Mathematics, Nagoya University, Nagoya, 464-8602, Japan ; Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand |
| 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. |
| Keywords: | Heat ball temperature supertemperature mean value property Gauss-Weierstrass kernel |
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