Cut-off functions and Liouville-type results on sub-Riemannian manifolds with curvature-dimension conditions
数学专题报告
报告题目(Title)：Cut-off functions and Liouville-type results on sub-Riemannian manifolds with curvature-dimension conditions
报告人(Speaker)：张会春 教授 （中山大学）
地点(Place)：腾讯会议 ID：462 985 284
时间(Time)：2022 年 09 月 30 日（周五） 14:00--15:00
邀请人(Inviter)：彦文娇
报告摘要
In geometric analysis, the existence of good cut-off functions is an interesting technical problem. In this talk, we will introduced some cut-off functions with controlled second-order derivatives in the setting of sub-Riemannian manifolds with a generalized curvature-dimension condition. As an application, we will discuss some Liouville-type theorems for semi-linear differential equations/inequalities with respect to the sub-Laplacian, including the elliptic, parabolic and hyperbolic cases. This is a joint work with Professor Bing Wang.
主讲人简介
中山大学数学学院教授，主要研究领域是非光滑空间上的几何分析， 在 JDG，Invent. Math.，CAG 等国际主流数学刊物上发表了论文十多篇。入选2014年度“万人计划”青年拔尖人才，2020年获国家基金委杰出青年基金支持。
