On the one-phase problem
数学专题报告
报告题目(Title):On the one-phase problem
报告人(Speaker):Xavier Fernandez-Real (EPFL)
地点(Place):ZoomID: 927 1816 1052, PWD: 657193
时间(Time):2024 年 4月 18日 16:00—17:00
邀请人(Inviter):熊金钢
报告摘要
In this talk we present an introduction to elliptic free boundary problems, with a particular emphasis on the one-phase problem. We will explain the basic regularity theory for it, and compare it with other classical free boundary problems. At the end of the talk, we will introduce some recent results in collaboration with Max Engelstein and Hui Yu on both the Bernstein problem for one-phase free boundaries, and generic uniqueness and regularity for both the one-phase and Alt- Phillips problem.
* This PDE seminar is co-organized with Tianling Jin at The Hong Kong University of Science and Technology. See the seminar webpage: https://www.math.hkust.edu.hk/~tianlingjin/PDEseminar.html