Alexandrov's theorem and Serrin's problem: Weak solutions and quantitative stability
报告人：张翼 (中国科学院数学与系统科学研究院)
时间：2024-10-21 16:00-17:00
地点：智华楼四元厅
Abstract: 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.
