Square function estimates and Local smoothing for Fourier Integral Operators
Location: 腾讯会议： 156 225 668
200-9， Sir Shaw Run Run Business Administration building,School of Mathematical Sciences, Yuquan Campus
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, (firstname.lastname@example.org)