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Optimal boundary regularity and extinction profiles for solutions of fast diffusion equations in bounded domains - 熊金钢 教授(北京师范大学)

编辑:   来源:  时间:2020-01-10

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:巴黎人贵宾会网址本部教二627教室

联系人:沈伟明,王越

欢迎全体师生积极参加!


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