报告平台:腾讯会议(下载安装腾讯会议APP或腾讯会议PC客户端,点击“加入会议”输入会议ID)
会议ID: 493 850 349
点击链接入会:https://meeting.tencent.com/s/5bzE78b42541
会议直播: https://meeting.tencent.com/l/5XaawNHcb80b
讲座人简介:
熊金钢,北京师范大学数学科学学院副教授,博导。2012年博士毕业于北京师范大学;2012至2014年,是北京大学北京国际数学研究中心Simons博士后。研究兴趣为偏微分方程、非线性分析、几何分析。至今在国际主流数学期刊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.等发表论文30余篇。2019年获国家优秀青年基金资助。
讲座简介:
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.