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Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 9: Mathematics of Nonlinear Lattices
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Original Articles

Global well-posedness for discrete non-linear Schrödinger equation

Gaston M. N'Guérékata Department of Mathematics, Morgan State University, 1700 East Cold Spring Lane, Baltimore, MD 21251, USA
&
Alexander Pankov Department of Mathematics, Morgan State University, 1700 East Cold Spring Lane, Baltimore, MD 21251, USACorrespondence[email protected]
Pages 1513-1521 | Received 03 Mar 2009, Accepted 05 Mar 2009, Published online: 30 Oct 2009
 
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Abstract

We consider the initial value problem for the discrete non-linear Schrödinger equation in weighted l 2-spaces. Under quite general assumptions we prove that the problem is globally well-posed. The proof is based on simple general facts on abstract evolution equations.

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