Speaker：Yuxin Dong (Fudan University)

Time：2023-5-11, 10:30

Location：Tencent Meeting ID：684-495-447（No Password）

Abstract:

In this talk, we derive local and global Li-Yau type gradient estimates for 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 positive solutions of the CR heat equation, and then obtain an upper bound estimate for the corresponding heat kernel. This is a joint work with Yibin Ren and Biqiang Zhao.