Strichartz estimates for Schr\"odinger equations on irrational tori
Analysis of PDEs
2014-03-11 v3
Abstract
In this paper, we prove new Strichartz estimates for linear Schrodinger equations posed on d-dimensional irrational tori. Then, we use these estimates to prove subcritical and critical local well-posedness results for nonlinear Schrodinger equations (NLS) on irrational tori.
Cite
@article{arxiv.1306.4973,
title = {Strichartz estimates for Schr\"odinger equations on irrational tori},
author = {Zihua Guo and Tadahiro Oh and Yuzhao Wang},
journal= {arXiv preprint arXiv:1306.4973},
year = {2014}
}
Comments
42 pages. Expanded introduction and updated references. To appear in Proc. Lond. Math. Soc