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學術活動

Optimal boundary regularity and extinction profiles for solutions of fast diffusion equations in bounded domains - 熊金鋼 教授(北京師范大學)

作者:   來源:  時間:2020-01-10

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

報告人:熊金鋼 教授(北京師范大學)

 

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.

 

時間:2020年1月10日(周五)上午11:00-12:00

地點:首都師范大學本部教二627教室

聯系人:沈偉明bo123彩票网官网,王越

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