Global endpoint Strichartz estimates for Schr\"odinger equations on the cylinder $\mathbb{R}\times\mathbb{T}$

Alex Barron; Michael Christ; Benoit Pausader

Global endpoint Strichartz estimates for Schr\"odinger equations on the cylinder $\mathbb{R}\times\mathbb{T}$

Analysis of PDEs 2021-02-03 v2 Classical Analysis and ODEs

Authors: Alex Barron , Michael Christ , Benoit Pausader

Abstract

We prove a sharp, global-in-time Strichartz estimate for the Schr\"odinger equation on the cylinder $\mathbb{R}\times\mathbb{T}$ .

Keywords

Strichartz estimates Schrödinger equation cylinder global-in-time sharp estimate

Cite

@article{arxiv.2006.15042,
  title  = {Global endpoint Strichartz estimates for Schr\"odinger equations on the cylinder $\mathbb{R}\times\mathbb{T}$},
  author = {Alex Barron and Michael Christ and Benoit Pausader},
  journal= {arXiv preprint arXiv:2006.15042},
  year   = {2021}
}