Strichartz estimates for Schrödinger equations on irrational tori

2013/06/20 by Zihua Guo, Tadahiro Oh, Guo, Zihua +3 · 6 citations
Mathematics · #35Q55 #42B37 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Applied mathematics #FOS: Mathematics #Geometry #Irrational number #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematics #Nonlinear Schrödinger equation #Nonlinear system #Physics #Quantum mechanics #Schrödinger equation #Schrödinger's cat #Torus #math.AP #msc:35Q55 #msc:42B37

paper · pdf · doi:10.48550/arxiv.1306.4973

published in arXiv (Cornell University) (Cornell University) · 42 pages. Expanded introduction and updated references. To appear in Proc. Lond. Math. Soc

openalex publication_date 2013/06/20 · arxiv created 2014/03/10 · arxiv updated 2014/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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
• Incidence theory and restriction estimates

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