Well-posedness for the 1D cubic nonlinear Schrödinger equation in \(L^p, p > 2\)

DOI10.1016/j.na.2022.113154zbMath1501.35372arXiv2204.06202OpenAlexW4304960862MaRDI QIDQ2094288

Ryosuke Hyakuna

Publication date: 28 October 2022

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.06202

zbMATH Keywords

well-posednessnonlinear Schrödinger equation\(L^p\)-data

Mathematics Subject Classification ID

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)

Cites Work

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• A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces
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