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

We consider the inhomogeneous Dirichlet-boundary value problem for the cubic nonlinear Schrödinger 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 facto...

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Bibliographic Details
Published in:Journal of Differential Equations 2019-01, Vol.266 (2-3), p.1121-1152
Main Authors: Esquivel, Liliana, Hayashi, Nakao, Kaikina, Elena I.
Format: Article
Language:English
Subjects:
Inhomogeneous initial–boundary value problem
Large time asymptotics
Nonlinear Schrödinger equation
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Summary:We consider the inhomogeneous Dirichlet-boundary value problem for the cubic nonlinear Schrödinger 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
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2018.07.063