Li--Yau Inequalities for Dunkl Heat Equations
Analysis of PDEs
2021-06-03 v2 Probability
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 .
Keywords
Cite
@article{arxiv.2105.10132,
title = {Li--Yau Inequalities for Dunkl Heat Equations},
author = {Huaiqian Li and Bin Qian},
journal= {arXiv preprint arXiv:2105.10132},
year = {2021}
}
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