报告主题: Some new progress on quantitative stability of geometric inequality
报 告 人: 陈露副教授(北京理工大学)
报告时间: 2024年6月25 日(星期二)下午15:00-16:00
报告地点: 37号楼3A01
邀 请 人: 姚若飞 副教授
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数学学院
2024年 6月24日
报告摘要:
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 HLS , 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.
报告人介绍:
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,主持国家自然科学基金青年项目和面上项目各一项,参与一项国家重点研发青年科学家项目。研究方向为非线性泛函分析和几何不等式。在几何不等式的最优常数和稳定性,指数增长的薛定谔方程的量化分析,双曲空间上的散色理论等方面取得了重要进展,在Proc. Lond. Math. Soc., Adv. Math, Trans. AMS, Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze,J. Funct. Anal等一流数学杂志期刊上发表论文30余篇。