Square function estimate for the cone in R^3

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.

Date

Speakers

Hong Wang, Institute for Advanced Study

Affiliation

Member, School of Mathematics
Analysis Seminar
School of Mathematics