报告题目： Regularity theory for the Dirichlet problem of porous medium type equations
报告人：熊金钢教授（北京师范大学）
时间：2022/10/28(周五)15：00-16：00
腾讯会议：548-588-596
摘要： It was proved in 1980s that nonnegative solutions of the homogeneous Dirichlet problem of porous medium equations and fast diffusion equations are Holder continuous. Due to the loss of uniform parabolicity near the boundary, the higher order regularity was unsolved. Actually, this was listed as the first unproved problem by Berryman-Holland 1980 for the fast diffusion regime. In this talk, I will present our recent complete solution to this problem. This is based on a series of work with T. Jin as well as a most recent one with T. Jin and X. Ros-Oton.
报告人简介：熊金钢，北京师范大学教授，博导。研究方向为偏微分方程、非线性分析和几何分析。在JEMS, AJM, Crelle, Math. Ann. 等国际知名期刊发表论文30余篇，2019 年获国家优秀青年基金资助。
