arXiv:1306.4973 Abstract | arXiv Analytics

arXiv:1306.4973 [math.AP]Abstract References Reviews Resources

Strichartz estimates for Schrödinger equations on irrational tori

Published 2013-06-20, updated 2014-03-10Version 3

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.

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

Categories: math.AP

Subjects: 35Q55, 42B37

Keywords: strichartz estimates, schrödinger equations, critical local well-posedness results, nonlinear schrodinger equations, d-dimensional irrational tori

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