Strichartz estimates for Schrödinger equations on irrational tori

2013/06/20 by Zihua Guo, Tadahiro Oh, Guo, Zihua +3 · 1 citation
Mathematics · #35Q55 #42B37 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1306.4973

openalex publication_date 2013/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• On Λ(p)-subsets of squares
• On the multilinear restriction and Kakeya conjectures

Cited by

• Well-posedness for the periodic Hyperbolic nonlinear Schrödinger equations

Related

• Strichartz estimates for the Schrodinger equation on irrational tori
• Scale invariant Strichartz estimates on tori and applications
• Local Well-posedness for 2-D Schrodinger Equation on Irrational Tori and\n Bounds on Sobolev Norms
• Bounds on Sobolev norms for the nonlinear Schrödinger equation on general tori
• Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundary