The extremizer problem for the Tomas-Stein inequality for the two dimensional sphere
数学专题报告
报告题目(Title)： The extremizer problem for the Tomas-Stein inequality for the two dimensional sphere
报告人(Speaker)：邵双林（美国堪萨斯大学）
地点(Place)：北师大后主楼1223
时间(Time)：2025年5月26日15:00-16:00
邀请人(Inviter)：徐桂香
报告摘要
Motivated by the recent progress of the concentration-compactness approach in solving the energy-critical and mass-critical dispersive equations such as nonlinear Schrodinger equations and nonlinear wave equations, we investigated the extremizer problem for the Tomas-Stein inequality for the two dimensional sphere. We prove that extremizers exist and they are also smooth. We also prove that constant functions and local extremizers. The method is the concentration-compactness facilitated by a refined Bourgain-type Tomas-Stein inequality. This is a joint work with Michael Christ.
主讲人简介
邵双林，堪萨斯大学副教授。本硕毕业于北京师范大学，2008年获得加州大学洛杉矶分校博士学位，师从菲尔兹奖得主陶哲轩教授，博士后就职于普林斯顿数学高等研究所和美国国家数学及其应用研究所。研究方向为调和分析和偏微分方程，主要关注调和分析在薛定谔方程中的应用。近年来，在Adv. Math. JFA等高水平期刊发表科研论文20余篇，完成美国国家科学基金等多项科研项目。
