太阳成集团tyc7111cc基础数学系学术报告

--- 分析、偏微分方程与动力系统讨论班(2024春季第9讲)

Quantitative Stability of geometric inequality

陈露（北京理工大学）

时间：05月22日（周三）下午16:00-17:00

地点：沙河国实 E404

摘要: In this talk, we will first introuduce the sharp geometric inequality and their stability. Then we present recent progress on the quantitative stability for  Hardy-Littlewood-Sobolev (HLS) inequality, fractional Sobolev inequality and trace Sobolev inequality. Finally, we also will discuss the optimal asymptotic lower bound for stability of fractional Sobolev inequality and Log Sobolev inequality on the sphere. This talk is based on the joint work with Prof. Lu from Connecticut University and Prof. Tang from Beijing Normal University.

报告人简介: 陈露，北京理工大学长聘副教授，博导。2018年博士毕业于北京师范大学，在 Moser-Truding-Adams不等式的最佳常数和极值问题、几何不等式的量化稳定性，指数临界增长的薛定谔方程基态解、双曲空间上波方程的散射理论等方面取得了重要的进展，相关结果发表在Proc. Lond. Math. Soc.， Adv.Math,  Trans. AMS,  J. Funct. Anal，Rev. Mat. Iberoam等国际学术期刊。

欢迎大家参加！