分析和微分方程讨论班

报告题目：Smoothing estimates for wave equations

报告人：吴澍坤(印第安纳大学)

时间：2026年5月28日，15:30

地点：海纳苑2幢204        

摘要：The local smoothing conjecture for wave equations was raised by Sogge, initially aiming to understand Stein's spherical maximal function. Because of its close connection to the Fourier transform of the surface measure of the sphere, the local smoothing conjecture has become a central topic in harmonic analysis. In this talk, I will discuss some quantitative smoothing estimates in both R^n and compact Riemannian manifolds. I will compare wave equations with (linear) Schrodinger equations and explain why the quantitative smoothing problem for wave equations is more challenging. 

联系人：席亚昆（yakunxi@zju.edu.cn）