Alexandrov's Theorem and Serrin's Problem: Weak Solutions and Quantitative Stability
发布时间:2024年10月17日
浏览次数:296
发布者: He Liu
主讲人: Zhang Yi(AMSS, Chinese Academy of Sciences)
活动时间: 从 2024-10-21 16:00 到 17:00
场地: 智华楼四元厅
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.