Global weak solutions of an initial-boundary value problem on a half-line for the higher order nonlinear Schrödinger equation
DOI10.1016/J.JMAA.2023.128003arXiv2307.13335OpenAlexW4389329295MaRDI QIDQ6146373
Publication date: 5 February 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2307.13335
initial-boundary value problemwell-posednessglobal solutionhigher-order nonlinear Schrödinger equation
NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)
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