报告题目：Strichartz estimates for the Schrödinger equation on the sphere

报告人：Xiaoqi Huang  Louisiana State University

邀请人：王兴

报告时间：2024.12.23 15：00

报告地点：数学院425

报告摘要：

  We will discuss Strichartz estimates for solutions of the Schrödinger equation on the standard round sphere, which is related to the results of Burq, Gérard and Tzvetkov (2004). The proof is based on the arithmetic properties of the spectrum of the Laplacian on the sphere along with some local bilinear estimate in harmonic analysis. We shall also discuss some related results on the flat tori and on manifolds with negative curvature. This is based on ongoing joint work with Christopher Sogge.

报告人简介

  Xiaoqi Huang is an Assistant Professor in the Department of Mathematics at Louisiana State University. His research focuses on harmonic analysis and its applications to partial differential equations. He has published work in journals such as the American Journal of Mathematics, Journal of the European Mathematical Society, Communications in Mathematical Physics, and Journal of Functional Analysis, among others.