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Title: Asymptotics for inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation

Abstract

We consider the inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation, formulated on a half-line. We study traditionally important problems of the theory of nonlinear partial differential equations, such as global in time existence of solutions to the initial-boundary value problem and the asymptotic behavior of solutions for large time.

Authors:
 [1]
  1. Centro de Ciencias Matemáticas, UNAM Campus Morelia, AP 61-3 (Xangari), Morelia CP 58089, Michoacán (Mexico)
Publication Date:
OSTI Identifier:
22251912
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Physics
Additional Journal Information:
Journal Volume: 54; Journal Issue: 11; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-2488
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ASYMPTOTIC SOLUTIONS; DIRICHLET PROBLEM; NONLINEAR PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS

Citation Formats

Kaikina, Elena I., E-mail: ekaikina@matmor.unam.mx. Asymptotics for inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation. United States: N. p., 2013. Web. doi:10.1063/1.4829437.
Kaikina, Elena I., E-mail: ekaikina@matmor.unam.mx. Asymptotics for inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation. United States. doi:10.1063/1.4829437.
Kaikina, Elena I., E-mail: ekaikina@matmor.unam.mx. Fri . "Asymptotics for inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation". United States. doi:10.1063/1.4829437.
@article{osti_22251912,
title = {Asymptotics for inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation},
author = {Kaikina, Elena I., E-mail: ekaikina@matmor.unam.mx},
abstractNote = {We consider the inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation, formulated on a half-line. We study traditionally important problems of the theory of nonlinear partial differential equations, such as global in time existence of solutions to the initial-boundary value problem and the asymptotic behavior of solutions for large time.},
doi = {10.1063/1.4829437},
journal = {Journal of Mathematical Physics},
issn = {0022-2488},
number = 11,
volume = 54,
place = {United States},
year = {2013},
month = {11}
}