On the well-posedness problem for the derivative nonlinear Schrödinger equation

DOI10.2140/apde.2023.16.1245zbMath1522.35470arXiv2101.12274OpenAlexW3126895298MaRDI QIDQ6134622

Monica Visan, Maria Ntekoume, Rowan Killip

Publication date: 22 August 2023

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.12274

zbMATH Keywords

well-posednessderivative nonlinear Schrödinger equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) 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 (1)

Remarks on blow-up criteria for the derivative nonlinear Schrödinger equation under the optimal threshold setting

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