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

Herbert Gajewski

International Journal of Mathematics and Mathematical Sciences, 1979, vol. 2, 1-20

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.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:428071

DOI: 10.1155/S0161171279000405

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