A small initial data criterion of global existence for the damped nonlinear Schrödinger equation

DOI10.1088/1751-8113/42/5/055205zbMath1158.78009OpenAlexW2003734345MaRDI QIDQ3603159

Guanggan Chen, Jian Zhang, Yunyun Wei

Publication date: 16 February 2009

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

Full work available at URL: https://doi.org/10.1088/1751-8113/42/5/055205

zbMATH Keywords

nonlinear Schrödinger equationglobal existenceinitial data

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items (5)

Existence and nonexistence of global solutions for time-dependent damped NLS equations ⋮ Global existence and scattering for nonlinear Schrödinger equations with time-dependent damping ⋮ Blow-up criteria for linearly damped nonlinear Schrödinger equations ⋮ Asymptotic behavior of the nonlinear damped Schrödinger equation ⋮ Phenomena of blowup and global existence of the solution to a nonlinear Schrödinger equation

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