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Strichartz estimates for Schrödinger equations on irrational tori

Strichartz estimates for Schrödinger equations on irrational tori

In this paper, we prove new Strichartz estimates for linear Schrödinger equations posed on d-dimensional irrational tori. Then, we use these estimates to prove subcritical and critical local well-posedness results for nonlinear Schrödinger equations on irrational tori.