时间：2026年6月4日（星期四）15:00-16:30
地点：西湖大学云谷校区E14-301
主讲人：吴澍坤，Indiana University Bloomington
报告题目：Smoothing estimates for wave equations
报告摘要：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.
