ON GLOBAL ROUGH SOLUTIONS TO A NON-LINEAR SCHRÖDINGER SYSTEM

DOI10.1017/S0017089509005138zbMath1177.35225OpenAlexW1993708347MaRDI QIDQ3183176

Li Ma, Xianfa Song, Lin Zhao

Publication date: 19 October 2009

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089509005138

zbMATH Keywords

well-posednessnonlinear Schrödinger system\(I\)-methodglobal-in-time

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

A SYSTEM OF COUPLED SCHRÖDINGER EQUATIONS WITH TIME-OSCILLATING NONLINEARITY ⋮ Growth of Sobolev norms for coupled lowest Landau level equations ⋮ L^2-concentration for a coupled nonlinear Schrödinger system

Cites Work

• Unnamed Item
• Unnamed Item
• On energy stability for the coupled nonlinear Schrödinger system
• The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\)
• Uniqueness of ground states of some coupled nonlinear Schrödinger systems and their application
• Existence of solutions for Schrödinger evolution equations
• Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation.
• Multilinear estimates for periodic KdV equations, and applications
• Ground state mass concentration in the \(L^2\)-critical nonlinear Schrödinger equation below \(H^1\)
• Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrödinger system

This page was built for publication: ON GLOBAL ROUGH SOLUTIONS TO A NON-LINEAR SCHRÖDINGER SYSTEM