Square function estimates and Local smoothing for Fourier Integral Operators

Speaker: 刘博辰（南方科技大学）

Time:    2020-12-15，15:00-16:30

Location:  腾讯会议： 156 225 668

200-9， Sir Shaw Run Run Business Administration building,School of Mathematical Sciences, Yuquan Campus

Abstract:

Abstract: 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, Changxing Miao and Yakun Xi. 

Contact Person:  WANG Meng, (mathdreamcn@zju.edu.cn)