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arXiv · 2302.09733

Gradient Estimates For The CR Heat Equation On Complete noncompact Pseudo-Hermitian Manifolds

Yuxin Dong·Yibin Ren·Biqiang Zhao
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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.

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Yuxin Dong, Yibin Ren, Biqiang Zhao. 2023-05-09. Gradient Estimates For The CR Heat Equation On Complete noncompact Pseudo-Hermitian Manifolds. https://arxiv.org/abs/2302.09733

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