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We extend a result obtained by Suzuki and Watson in 2001 for caloric functions: under certain conditions, a volume mean value identity characterizes heat balls. We obtain an inverse mean value property of solutions of a class of evolution equations of Hörmander-type.

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Rigidity Results for Evolution PDEs on Homogeneous Lie Groups

  • 会议论文

  • 发表日期：

    2025年

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  • Alessia E. Kogoj

摘要

We extend a result obtained by Suzuki and Watson in 2001 for caloric functions: under certain conditions, a volume mean value identity characterizes heat balls. We obtain an inverse mean value property of solutions of a class of evolution equations of Hörmander-type.