Square function estimate for the cone in R^3

Square function estimate for the cone in R^3 - Hong Wang

Hong Wang
Member, School of Mathematics
May 18, 2020
We prove a sharp square function estimate for the cone in R^3 and consequently the local smoothing conjecture for the wave equation 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.