数学科学学院学术报告

--- 分析与偏微分方程讨论班(2022秋季第3讲)

题目: Szego Limit Theorem and Mean Field Equations

报告人: 胡烨耀 教授 (中南大学)

时间：2022-10-14   14：00-15：00  (周五下午)  

地点: 腾讯会议 ID：735-547-297

    腾讯会议链接：https://meeting.tencent.com/dm/5uOsOTjnNXnw

摘要: In this talk, we will first review the classical Lebedev-Milin inequality and Szego limit theorem on circle. PDE approach is adopted to establish infinitely many inequalities with vanishing higher order “moments” assumption. Then, higher dimensional analogues of Szego limit theorem of axially symmetric functions are introduced as byproducts of improved Beckner’s inequalities on spheres of even dimensions. This a joint work with Professor Changfeng Gui from UTSA and Dr. Weihong Xie from CSU.

报告人简介: 胡烨耀,中南大学数学与统计学院特聘教授,博士生导师。主要从事椭圆型偏微分方程与共形几何等方向的研究。近期与合作者一起建立了高维球面上改进的Beckner不等式。其研究成果在 《J. Funct. Anal.》《Int. Math. Res. Not. IMRN》《SIAM J. Math. Anal.》《Calc. Var. Partial Differential Equations》《中国科学（数学）英文版》《J. Differential Equations》《Nonlinearity》等权威期刊上发表。

邀请人：戴蔚

欢迎大家参加！