Speaker:LIU Bochen, Associate Profressor, College of Science, Department of Mathematics, Southern University of Science and Technology
Venue: 200-9, Sir Run Run Shaw Business Administration Building, School of Mathematical Sciences, Yuquan Campus
Tecent Meeting ID: 156 225 668
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.