题目：Optimal boundary regularity and extinction profiles for solutions of fast diffusion equations in bounded domains

报告人：熊金钢 教授（北京师范大学）

Abstract：

   I will first present the optimal boundary regularity for bounded positive weak solutions of fast diffusion equations in smooth bounded domains.This solves a problem raised by Berryman and Holland in 1980 for these equations in the subcritical and critical regimes. Our proof uses a geometric type structure of the equations---evolution of a scalar curvature-like quantity. Second, I will talk about soliton resolution of the Sobolev critical fast diffusion equation and a flow proof of the Brezis-Nirenberg theorem. This is based on joint work with Tianling Jin.

时间：2020年1月10日（周五）上午11:00-12:00

地点：565net必赢客户端本部教二627教室

联系人：沈伟明，王越

欢迎全体师生积极参加！