Square Function Estimates and Local Smoothing for Fourier Integral Operators
发布时间：2020年12月07日
浏览次数：5804
发布者: He Liu
主讲人： Yakun Xi (Zhejiang University)
活动时间： 从 2020-12-09 10:00 到 11:00
场地： 北京国际数学研究中心，全斋全9教室
We discuss some recent progress on the local smoothing conjecture for FIOs. In particular, we prove a variable coefficient version of the square function estimate of Guth--Wang--Zhang, which implies the full range of sharp local smoothing estimates for 2+1 dimensional Fourier integral operators satisfying the cinematic curvature condition. As a consequence, the local smoothing conjecture for wave equations on compact Riemannian surfaces is settled. This is a joint work with Chuanwei Gao, Bochen Liu and Changxing Miao.
