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March/April 2010 Semi-discrete weakly damped nonlinear 2-D Schrödinger equation
Emna Ezzoug, Olivier Goubet, Ezzeddine Zahrouni
Differential Integral Equations 23(3/4): 237-252 (March/April 2010).

Abstract

We consider a semi-discrete in time Crank-Nicolson scheme to discretize a damped forced nonlinear Schrödinger equation in $2D$. This provides us with a discrete infinite-dimensional dynamical system. We prove the existence of a finite-dimensional global attractor for this dynamical system.

Citation

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Emna Ezzoug. Olivier Goubet. Ezzeddine Zahrouni. "Semi-discrete weakly damped nonlinear 2-D Schrödinger equation." Differential Integral Equations 23 (3/4) 237 - 252, March/April 2010.

Information

Published: March/April 2010
First available in Project Euclid: 20 December 2012

zbMATH: 1240.35512
MathSciNet: MR2588474

Subjects:
Primary: 35B41, 35Q55, 37L30

Rights: Copyright © 2010 Khayyam Publishing, Inc.

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Vol.23 • No. 3/4 • March/April 2010
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