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arXiv · 2105.10132

Li--Yau Inequalities for Dunkl Heat Equations

Huaiqian Li·Bin Qian
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Abstract

Motivated by recent works due to Yu--Zhao [J. Geom. Anal. 2020] and Weber--Zacher [arXiv:2012.12974], we study Li--Yau inequalities for the heat equation corresponding to the Dunkl Laplacian, which is a non-local operator parameterized by reflection groups and multiplicity functions. The results are sharp in the particular case when the reflection group is isometric to $\mathbb{Z}_2^d$.

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Huaiqian Li, Bin Qian. 2021-05-21. Li--Yau Inequalities for Dunkl Heat Equations. https://arxiv.org/abs/2105.10132

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