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Publication Cover
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

Citations (7)

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Read on this site (2)

Alexander Pankov & Guoping Zhang. (2022) Initial value problem of the discrete nonlinear Schrödinger equation with complex potential. Applicable Analysis 101:16, pages 5760-5774.
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Michael Herrmann. (2010) Heteroclinic standing waves in defocusing DNLS equations: variational approach via energy minimization. Applicable Analysis 89:10, pages 1591-1602.
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Articles from other publishers (5)

Guoping Zhang & Ghder Aburamyah. (2024) Global attractor and l^p solutions to initial value problems of discrete nonlinear Schrodinger equations complex potential. Electronic Journal of Differential Equations 2024:01-??, pages 12.
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Yuslenita Muda, Fiki T. Akbar, Rudy Kusdiantara, Bobby E. Gunara & Hadi Susanto. (2020) Reduction of a damped, driven Klein–Gordon equation into a discrete nonlinear Schrödinger equation: Justification and numerical comparison. Asymptotic Analysis 120:1-2, pages 73-86.
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Hengyan Li & Xin Zhao. (2014) Asymptotic Behavior of the Coupled Nonlinear Schrödinger Lattice System. Abstract and Applied Analysis 2014, pages 1-6.
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Tetsu Mizumachi & Dmitry Pelinovsky. (2012) On the asymptotic stability of localized modes in the discrete nonlinear Schrödinger equation. Discrete & Continuous Dynamical Systems - S 5:5, pages 971-987.
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Christopher Chong, Dmitry E. Pelinovsky & Guido Schneider. (2012) On the validity of the variational approximation in discrete nonlinear Schrödinger equations. Physica D: Nonlinear Phenomena 241:2, pages 115-124.
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