题目：Souplet-Zhang estimate and Li-Yau inequality under integral Ricci curvature condition

报告人：朱萌（华东师范大学）

报告时间：2026年4月9日 14：30- 15：30

报告地点：腾讯会议 203 294 711

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.