English

A sharp square function estimate for the cone in $\mathbb{R}^3$

Classical Analysis and ODEs 2020-06-24 v4 Analysis of PDEs

Abstract

We prove a sharp square function estimate for the cone in R3\mathbb{R}^3 and consequently the local smoothing conjecture for the wave equation in 2+12+1 dimensions.

Cite

@article{arxiv.1909.10693,
  title  = {A sharp square function estimate for the cone in $\mathbb{R}^3$},
  author = {Larry Guth and Hong Wang and Ruixiang Zhang},
  journal= {arXiv preprint arXiv:1909.10693},
  year   = {2020}
}

Comments

Referee's suggestions incorporated

R2 v1 2026-06-23T11:23:51.561Z