English

A Sharpened Strichartz Inequality For Radial Functions

Classical Analysis and ODEs 2018-07-26 v2 Analysis of PDEs

Abstract

We prove a sharpened version of the Strichartz inequality for radial solutions of the Schr\"odinger equation in R2×R\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.

Keywords

Cite

@article{arxiv.1709.08100,
  title  = {A Sharpened Strichartz Inequality For Radial Functions},
  author = {Felipe Gonçalves},
  journal= {arXiv preprint arXiv:1709.08100},
  year   = {2018}
}

Comments

19 pages, 1 figure

R2 v1 2026-06-22T21:52:47.268Z