张良迪:Priori estimates for some PDEs on manifolds

2021-02-26 来源:数学科学研究中心

活动地点:cms201

活动类型:学术报告

主讲人:

活动时间:2021-02-27 03:19:00--2021-02-27 22:19:00

活动内容:

报告人:张良迪
题目:Priori estimates for some PDEs on manifolds

时间:2月27日下午3:15

地点:CMS 201
摘要:In this talk, we present our recent work on some PDEs on manifolds, including a nonlinear diffusion equation on compact Kähler manifolds for which we proved matrix and classical Harnack estimates for its positive solutions and an Allen-Cahn equation on Reimannian manifolds for which we established global bounds for the Hessian of positive solutions. Moreover, we show gradient estimates for the forward conjugate heat equation of forms under the Ricci flow.