科学研究
学术报告
Stability of Serrin Overdetermined Problem
邀请人:郭宏骏
发布时间:2026-09-10浏览次数:

题目:Stability of Serrin Overdetermined Problem

报告人:李沁峰 副教授(湖南大学)

地点:致远楼101室

时间:2026年9月11日 星期五 09:00-10:00

Abstract:In my earlier work with Weihong Xie and Hang Yang, we posed a stability question for Serrin’s overdetermined problem under Dirichlet perturbations and proved that the answer is negative in dimensions $n\ge3$. The present talk resolves the question in the planar convex class and develops a sharp quantitative theory without any a priori geometric nondegeneracy and smoothness assumption. The convexity assumption cannot be removed.

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