Energy criterion of global existence for supercritical nonlinear Schrödinger equation with harmonic potential

DOI10.1063/1.2752010zbMath1144.81325OpenAlexW1977135295MaRDI QIDQ3529822

Yunyun Wei, Guanggan Chen, Jian Zhang

Publication date: 14 October 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2752010

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (7)

A new blow-up criterion for Gross-Pitaevskii equation ⋮ Nonlinear Hartree equation in high energy-mass ⋮ Energy criterion of global existence for energy-critical Schrödinger equations with subcritical perturbations ⋮ \(L^{2}\)-concentration of blow-up solutions for two-coupled nonlinear Schrödinger equations with harmonic potential ⋮ Sharp conditions of global existence and scattering for a focusing energy-critical Schrödinger equation ⋮ Phenomena of blowup and global existence of the solution to a nonlinear Schrödinger equation ⋮ Necessary conditions and sufficient conditions for global existence for two-components nonlinear Schrödinger equations in the super critical case

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