报告题目：二维球体的Tomas-Stein不等式的极值问题

报告时间：2024-05-31  15:30-16:30

报 告 人：邵双林  副教授（堪萨斯大学）

报告地点：理学院东北楼四楼报告厅(404)

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 Schrödingerequations 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.