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      Bubbling and extinction profiles of the critical fast diffusion equation in bounded domain

      【字體:

      報告人:熊金鋼 副教授

      報告日期:2020-05-11(星期一)

      報告時間:19:30

      報告平臺:騰訊會議(下載安裝騰訊會議APP或騰訊會議PC客戶端,點擊“加入會議”輸入會議ID)

      會議ID:493 850 349

      點擊鏈接入會:https://meeting.tencent.com/s/5bzE78b42541

      會議直播: https://meeting.tencent.com/l/5XaawNHcb80b

      主辦單位:數學與信息科學學院

      講座人簡介:

      熊金鋼,北京師范大學數學科學學院副教授,博導。2012年博士畢業于北京師范大學;2012至2014年,是北京大學北京國際數學研究中心Simons博士后。研究興趣為偏微分方程、非線性分析、幾何分析。至今在國際主流數學期刊J. Eur. Math. Soc., Math. Ann., Adv. Math., Arch. Rat. Mech. Anal., Annales IHP-ANL, Comm.PDE, J. Funct. Anal., Trans. Amer. Math. Soc.,J. Reine Angew. Math.等發表論文30余篇。2019年獲國家優秀青年基金資助。

      講座簡介:

      In this talk, I will show the concentration compactness phenomenon for nonnegative solutions of the Sobolev critical fast diffusion equations in bounded domains with the vanishing Dirichlet boundary condition. Inspired by the Brezis-Nirenberg problem, I will present the extinction behavior of the solutions if the equations have a favorable zero order term in dimension four and higher. Moreover, the sharp extinction rate is obtained. This is joint with Tianling Jin.

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