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

DOI10.1090/S0002-9939-01-05859-2zbMath0969.31006OpenAlexW1541772229MaRDI QIDQ2716115

Neil A. Watson, Noriaki Suzuki

Publication date: 6 June 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-05859-2

zbMATH Keywords

heat equationtemperaturemean value propertyheat ballGauss-Weierstrass kernelsupertemperature

Mathematics Subject Classification ID

Heat equation (35K05) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (2)

Asymptotic mean value formulas for parabolic nonlinear equations ⋮ ``Potato kugel for sub-Laplacians

Cites Work

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• Potato Kugel
• Maggioranti e minoranti delle soluzioni delle equazioni paraboliche
• A Convexity Theorem for Local mean values of Subtemperatures
• Green Functions, Potentials, and the Dirichlet Problem for the Heat Equation
• A Theory of Subtemperatures in Several Variables
• On the Mean-Value Property of Harmonic Functions

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