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.
Rigidity Results for Evolution PDEs on Homogeneous Lie Groups
Kogoj, Alessia E.
2025
Abstract
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.File in questo prodotto:
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