报告题目 (Title)：Hamilton-Souplet-Zhang type estimate under integral Ricci curvature condition and its application to Li-Yau inequality

中文标题：积分Ricci曲率条件下的Hamilton-Souplet-Zhang型估计及其在Li-Yau不等式中的应用

报告人 (Speaker)：朱萌（华东师范大学）

报告时间 (Time)：2023年11月15日(周三) 13:30

报告地点 (Place)：校本部F309

邀请人(Inviter)：席东盟、李晋、张德凯

主办部门：理学院数学系

报告摘要：We first prove a Hamilton-Souplet-Zhang type gradient estimate for the heat equation on Riemannian manifolds satisfying certain integral Ricci curvature condition. Then as an application, by implanting the Hamilton-Souplet-Zhang type estimate in an argument of Qi S. Zhang, we show that certain integral Li-Yau inequality holds for the heat equation in this circumstance. This is a joint work with Xingyu Song, Ling Wu, and Qi S. Zhang.