On an initial-boundary value problem for the nonlinear Schrödinger equation-Reference-Cited by-同舟云学术

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On an initial-boundary value problem for the nonlinear Schrödinger equation

Published:1979 Issue:3 Volume:2 Page:503-522
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Gajewski Herbert¹

Affiliation:

1. Akademie der Wissenschaften der DDR, Zentralinstitut für Mathematik und Mechanik, Mohrenstrabe 39, Berlin DDR- 108, Germany

Abstract

We study an initial-boundary value problem for the nonlinear Schrödinger equation, a simple mathematical model for the interaction between electromagnetic waves and a plasma layer. We prove a global existence and uniqueness theorem and establish a Galerkin method for solving numerically the problem.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/1979/428071.pdf

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space;Probability Theory and Related Fields;2018-11-01

2. A stochastic nonlinear Schrödinger problem in variational formulation;Nonlinear Differential Equations and Applications NoDEA;2016-04

3. Variational Solution of Stochastic Schrödinger Equations With Power-Type Nonlinearity;Stochastic Analysis and Applications;2015-06-24

4. The initial boundary value problem for the Schröudinger equation;Mathematical Methods in the Applied Sciences;1990-11

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