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Type: Article
Inhomogeneous Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques
Abstract:
We consider the inhomogeneous Dirichlet-boundary value problem for the cubic nonlinear Schrodinger equations on the half line. We present sufficient conditions of initial and boundary data which ensure asymptotic behavior of small solutions to equations by using the classical energy method and factorization techniques
We consider the inhomogeneous Dirichlet-boundary value problem for the cubic nonlinear Schrodinger equations on the half line. We present sufficient conditions of initial and boundary data which ensure asymptotic behavior of small solutions to equations by using the classical energy method and factorization techniques
Keywords: Nonlinear Schrodinger equation; Large time asymptotics; Inhomogeneous initial-boundary value problem
MSC: 35Q55 (81Q80)
Journal: Journal of Differential Equations
ISSN: 1090-2732
Year: 2019
Volume: 266
Number: 2-3
Pages: 1121-1152
Zbl Number: 1406.35350
MR Number: 4010419
Revision: 1



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