Local smoothing estimate for the cone in $R^3$
Speaker: Hong Wang, IAS Princeton
Date: Thursday, October 22, 2020, 11 a.m.
If u is a solution to the wave equation on Rn, a local smoothing inequality bounds ||u||Lp(Rn x [1,2]) in terms of the Sobolev norms of the initial data. We prove Sogge's local smoothing conjecture in 2+1 dimensions. The proof uses induction on scales and an incidence estimate for points and tubes. This is joint work with Larry Guth and Ruixiang Zhang.
This is an online talk via Zoom.