报告题目：The extremizer problem for the Tomas-Stein inequality for the two dimensional sphere
报告人：邵双林 教授
工作单位：美国堪萨斯大学
报告时间：2024年05月22日 15:00-16:00
报告地点：永利体育官网登录 305
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 the 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 are 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.
报告人简介：
邵双林，堪萨斯大学教授，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。2004年毕业于北京师范大学，师从丁勇、陆善镇教授。2008年毕业于加州大学伯克利分校，师从陶哲轩教授。2011年至今，任教于堪萨斯大学。近年来，发表科研论文近20篇，完成科研基金项目2项。
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