Strichartz estimates for Schrödinger equations on irrational tori

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.

42 pages. Expanded introduction and updated references. To appear in Proc. Lond. Math. Soc