学术报告

报告题目：Stability of Sobolev inequalities

报 告 人：张翼

报告时间：2022年12月15日（星期四）15:00-16:00

报告地点：腾讯会议（458 945 052）

报告人简介：

张翼，中科院数学所副研究员。2017年博士毕业于芬兰于韦斯屈莱大学，师从Pekka Koskela教授。其后分别在德国波恩大学和瑞士苏黎世大学进行博士后研究。主要兴趣在于复变函数，椭圆偏微分方程，变分问题等分析与几何交叉方向。

报告摘要：

In1985, Brezis and Lieb asked how stable the Sobolev inequalities are when p=2. Namely, if one moves out from the minimizing set of the Sobolevenergy

how much energy is needed. Later Bianchi and Egnell gives an answer with both optimal distance and optimal decay speed. The stability for the full range of p was firstly given by Cianchi, Fusco, Maggi, and Pratelli, even though their speed is not optimal. In this talk, I present my recent work with Figalli, whhere the optimal speed is given.