The derivative nonlinear Schrödinger equation on the half line

DOI10.1016/j.anihpc.2018.03.006zbMath1405.35194arXiv1706.06898OpenAlexW2691742390MaRDI QIDQ1618259

T. B. Gürel, Mehmet Burak Erdogan, Nikolaos Tzirakis

Publication date: 13 November 2018

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.06898

zbMATH Keywords

initial-boundary value problemsnonlinear smoothingwellposedness theoryderivative NLS

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (13)

The complex Hamiltonian system in the Gerdjikov-Ivanov equation and its applications ⋮ Integrable nonlocal derivative nonlinear Schrödinger equations ⋮ Sharp well-posedness of the biharmonic Schrödinger equation in a quarter plane ⋮ The long-time asymptotics of the derivative nonlinear Schrödinger equation with step-like initial value ⋮ Unconditional uniqueness for the Benjamin-Ono equation ⋮ Talbot effect on the sphere and torus for \(d \geq 2\) ⋮ Growth bound and nonlinear smoothing for the periodic derivative nonlinear Schrödinger equation ⋮ Admissible boundary values for the Gerdjikov-Ivanov equation with asymptotically time-periodic boundary data ⋮ Nonlinear smoothing and unconditional uniqueness for the Benjamin-Ono equation in weighted Sobolev spaces ⋮ Unconditional uniqueness for the derivative nonlinear Schrödinger equation on the real line ⋮ Local regularity properties for 1D mixed nonlinear Schrödinger equations on half-line ⋮ Polynomial bound and nonlinear smoothing for the Benjamin-Ono equation on the circle ⋮ Well-posedness of the initial-boundary value problem for the fourth-order nonlinear Schrödinger equation

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