$L^p$ estimates of the maximal Schrödinger operator in ${\mathbb{R}}^n$

Abstract

We obtain $L^p$ estimates of the maximal Schrödinger operator in ${\mathbb{R}}^n$ using polynomial partitioning, bilinear refined Strichartz estimates, and weighted restriction estimates.

Accepted by Journal of Functional Analysis in Nov 2024; incorporated referee's comments