Gradient Estimates For The CR Heat Equation On Complete noncompact Pseudo-Hermitian Manifolds
Differential Geometry
2023-05-10 v4 Analysis of PDEs
Abstract
In this paper, we derive local and global Li-Yau type gradient estimates for the positive solutions of the CR heat equation on complete noncompact pseudo-Hermitian manifolds. As applications of the gradient estimates, we give a Harnack inequality for the positive solutions of the CR heat equation, and then obtain an upper bound estimate for the corresponding heat kernel.
Keywords
Cite
@article{arxiv.2302.09733,
title = {Gradient Estimates For The CR Heat Equation On Complete noncompact Pseudo-Hermitian Manifolds},
author = {Yuxin Dong and Yibin Ren and Biqiang Zhao},
journal= {arXiv preprint arXiv:2302.09733},
year = {2023}
}
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