A Sharpened Strichartz Inequality For Radial Functions

Abstract

We prove a sharpened version of the Strichartz inequality for radial solutions of the Schrödinger equation in ${\mathbb{R}}^2\times \mathbb{R}$. We establish an improved upper bound for functions that nearly extremize the inequality, with a negative second term that measures the distance from the initial data to Gaussians.

arXiv comment19 pages, 1 figure