Regularity properties of the Zakharov system on the half line

DOI10.1080/03605302.2017.1335320zbMath1379.35292arXiv1609.07811OpenAlexW2963035761MaRDI QIDQ4598317

Mehmet Burak Erdogan, Nikolaos Tzirakis

Publication date: 20 December 2017

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07811

zbMATH Keywords

boundary value problemswellposedness theoryZakharov system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (10)

The derivative nonlinear Schrödinger equation on the half line ⋮ Regularity properties of the cubic biharmonic Schrödinger equation on the half line ⋮ Sharp well-posedness of the biharmonic Schrödinger equation in a quarter plane ⋮ Pullback dynamics and statistical solutions for dissipative non-autonomous Zakharov equations ⋮ Low regularity well-posedness for dispersive equations on semi-infinite intervals ⋮ Sharp well-posedness for the generalized KdV of order three on the half line ⋮ Lower regularity solutions of the biharmonic Schrödinger equation in a quarter plane ⋮ Well-posedness and lower bounds of the growth of weighted norms for the Schrödinger-Korteweg-de Vries interactions on the half-line ⋮ Initial boundary value problems for some nonlinear dispersive models on the half-line: a review and open problems ⋮ Local regularity properties for 1D mixed nonlinear Schrödinger equations on half-line

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