Remark on the periodic mass critical nonlinear Schrödinger equation

DOI10.1090/S0002-9939-2014-12024-7zbMath1298.35196arXiv1203.6375MaRDI QIDQ3189571

Nobu Kishimoto

Publication date: 12 September 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.6375

zbMATH Keywords

periodic boundary conditionStrichartz estimatesmass critical nonlinear Schrödinger equationPicard iteration method.

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) NLS equations (nonlinear Schrödinger equations) (35Q55) Lattice points in specified regions (11P21)

Related Items (7)

Periodic cubic hyperbolic Schrödinger equation on \(\mathbb T^2\) ⋮ Remark on the adiabatic limit of quantum Zakharov system ⋮ Unconditional local well-posedness for periodic NLS ⋮ The weakly nonlinear large-box limit of the 2D cubic nonlinear Schrödinger equation ⋮ Global solvability of the rotating Navier-Stokes equations with fractional Laplacian in a periodic domain ⋮ Nonlinear smoothing for the periodic generalized nonlinear Schrödinger equation ⋮ Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus

Cites Work

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• Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
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