Inhomogeneous Neumann-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques

We consider the inhomogeneous Neumann-boundary value problem for the nonlinear Schrödinger equations on the half-line. We present sufficient conditions of initial and boundary data which ensure asymptotic behavior of small solutions to the equations by using the classical energy method and factoriza...

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Bibliographic Details
Published in:Journal of mathematical physics 2019-09, Vol.60 (9)
Main Authors: Esquivel, Liliana, Hayashi, Nakao, Kaikina, Elena I.
Format: Article
Language:English
Subjects:
Asymptotic properties
Boundary value problems
Factorization
Mathematical analysis
Neumann problem
Nonlinear equations
Physics
Schrodinger equation
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Summary:We consider the inhomogeneous Neumann-boundary value problem for the nonlinear Schrödinger equations on the half-line. We present sufficient conditions of initial and boundary data which ensure asymptotic behavior of small solutions to the equations by using the classical energy method and factorization techniques.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.5083078