北京科技大学马力教授学术报告 3月23日下午 (腾讯会议室)

发布时间:2021-03-22浏览次数:349

报告题目:Sobolev to Perelman: a trip to W-functionals

时间:2021-03-23 (星期二) 15:30 ~ 2021-03-23 (星期二) 17:00

地点:腾讯会议(ID570 741 001

主讲:北京科技大学马力教授

主办:数学与信息学院, 福建省分析数学及应用重点实验室

参加对象:数学系老师和研究生

 

报告摘要:In this talk, we start from  discussing the Sobolev inequality and its variants. Then we consider the extremals of Perelman's W-functional, which is a log Sobolev in the Euclidean space. We mainly study properties of the lambda constants and the existence of ground states of Perelman's famous W-functional from a variational formulation. We show  the estimation of lambda constant of G.Perelman and  the existence of ground states of his W-functional both on a complete non-compact Riemannian manifold (M,g). We also introduce a new invariant constant d(M,g). For the existence of the ground states we use Lions' concentration-compactness method.

 

报告人简介:马力,北京科技大学教授、博导,主要从事几何分析与偏微分方程的研究,已在Adv. Math, ARMA, JMPA, CV &PDE, J. Funct. Anal., Comm. Math.Phy., JDE等多个数学领域的著名期刊上发表论文。