Global Existence for Two Dimensional Quadratic Derivative Nonlinear Schrödinger Equations

DOI10.1080/03605302.2011.626099zbMath1247.35145OpenAlexW2079484994MaRDI QIDQ2904522

Nakao Hayashi, Pavel I. Naumkin

Publication date: 14 August 2012

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

Full work available at URL: https://doi.org/10.1080/03605302.2011.626099

zbMATH Keywords

global existencenonlinear Schrödinger equationsquadratic nonlinearitiestwo spatial dimensions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (4)

Asymptotic behavior of incompressible Schrödinger flow for small data in three dimensions ⋮ Globally well and ill posedness for non-elliptic derivative Schrödinger equations with small rough data ⋮ Null structure in a system of quadratic derivative nonlinear Schrödinger equations ⋮ Small data global existence for a class of quadratic derivative nonlinear Schrödinger systems in two space dimensions

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