Gradient Estimates on Complete Noncompact Riemannian Manifold with Compact Boundary
数学专题报告
报告题目(Title)：Gradient Estimates on Complete Noncompact Riemannian Manifold with Compact Boundary
报告人(Speaker)：孙俊（武汉大学）
地点(Place)：腾讯会议ID：980 008 3315
时间(Time)：2022年11月17日（周四), 15:00-16:00
邀请人(Inviter)：赵亮
报告摘要
In this talk, we will prove some gradient estimates on complete noncompact Riemannian manifold with compact boundary. We will first talk about Louville theorem for harmonic maps from complete noncompact Riemannian manifold with compact boundary, which is joint work with Xiaobao Zhu. Then we will talk about some geometric and analytic properties for complete noncompact Riemannian manifold with compact boundary under integral Ricci curvature and prove gradient estimates for positive solutions to the heat equation on such manifold. This is based on joint work with Shitong Niu.
主讲人简介
孙俊，武汉大学数学与统计学院副教授，博士生导师。主要研究方向是几何分析，着重研究子流形几何相关的问题。主要工作发表在Crelle’s Journal, Math Ann., Calc Var. PDE, IMRN, Comm. Cont. Math, MRL, Adv. Math.等数学重要期刊，目前主持国家自然科学基金面上项目。
