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Dynamical approach to an overdetermined problem in potential theory
时间  Datetime
2018-11-27 14:00 — 15:00 
地点  Venue
601,Pao Yue-Kong Library
报告人  Speaker
Michiaki Onodera
单位  Affiliation
Tokyo Institute of Technology
邀请人  Host
谢春景
报告摘要  Abstract

 I will present a rigidity result on an overdetermined problem, in which one needs to determine the shape of a planet inducing a prescribed gravitational field. The main idea is to introduce a flow which appears as a deformation process for a parametrized "stationary" problem. Spectral analysis for the linearized flow yields a detailed stability estimate for solutions to the overdetermined problem.