Sharp Strichartz estimates for some variable coefficient Schrödinger operators on \(\mathbb{R}\times\mathbb{T}^2 \)

DOI10.3934/MINE.2022033zbMath1500.35249arXiv2106.11940OpenAlexW3202984932MaRDI QIDQ2167610

Gigliola Staffilani, Serena Federico

Publication date: 25 August 2022

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.11940

zbMATH Keywords

Strichartz estimatesperiodic NLSSchrödinger equations on the torustime-degenerate equationsvariable coefficient Schrödinger equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Smoothing and Strichartz estimates for degenerate Schrödinger-type equations ⋮ Fluid instabilities, waves and non-equilibrium dynamics of interacting particles: a short overview

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