Alexandrov's theorem and Serrin's problem: Weak solutions and quantitative stability

报告人张翼(Zhang, Yi Ru-Ya) 副研究员

报告者单位:中国科学院数学与系统科学研究院

报告时间:20241024日(周四)16:00--17:30

报告地点:7号楼 会议室7215 

报告摘要:The Alexandrov theorem states that, any compact hypersurface embedded in \mathbb R^n with constant mean curvature is necessarily a sphere. Meanwhile, Serrin's problem concerns a class of overdetermined issues within the framework of partial differential equations. In this talk, we discuss about the relations between these two theorems, highlighting recent developments in their weak formulations and exploring the quantitative stability results. 

报告者简介:张翼,中国科学院数学与系统科学研究院副研究员,国家级人才计划入选者。2013年于北航数学与应用数学专业本科毕业。博士毕业于芬兰于韦斯屈莱大学(University of Jyvaskyyla),导师为Pekka Koskela教授,之后分别在波恩大学和ETH跟随H. Koch教授和A. Figalli教授(2018年菲尔茨奖获得者)做博士后。主要研究方向为复分析,函数空间,椭圆偏微分方程以及几何不等式的稳定性等,已在多种权威数学杂志发表学术论文二十余篇。