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

References in corpus (3)

• Strichartz estimates for Schrödinger equations on irrational tori in two and three dimensions
• Incidence theory and restriction estimates
• Global regularity for the energy-critical NLS on ${\mathbb{S}}^3$

Cited by in corpus (3)

• Incidence theory and restriction estimates
• Growth of higher Sobolev norms for energy critical NLS on irrational tori: small energy case
• Long time dynamics for defocusing cubic NLS on three dimensional product space