报告题目 (Title): Souplet-Zhang estimate and Li-Yau inequality under integral Ricci curvature condition（积分里奇曲率条件下的Souplet-Zhang估计和Li-Yau不等式）
报告人 (Speaker)： 朱萌 教授（华东师范大学）
报告时间 (Time)：2026年10月15日(周四) 16:00
报告地点 (Place)：腾讯会议（会议号：177-736-773 无密码）
邀请人(Inviter)：吴加勇
报告摘要: On a closed n-dimensional Riemannian manifold, assuming that the the L^p integral of the Ricci curvature is bounded in some way, we prove a Souplet-Zhang type gradient estimate for bounded positive solutions of the heat equation. Then, by implanting the Souplet-Zhang type estimate in an argument of Qi S. Zhang, we show that certain integral Li-Yau inequality holds for the heat equation. This is a joint work with Xingyu Song, Ling Wu.