Advances in Differential Equations

Existence of a finite-dimensional global attractor for a damped Parametric nonlinear Schrödinger equation

Olivier Goubet and Ludovic Legry

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Abstract

We study the existence of a global attractor for a damped parametric nonlinear Schrödinger equation. We provide sufficient conditions for this attractor to have finite dimension.

Article information

Source
Adv. Differential Equations Volume 17, Number 9/10 (2012), 859-877.

Dates
First available in Project Euclid: 17 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355702925

Mathematical Reviews number (MathSciNet)
MR2985677

Subjects
Primary: 37L30: Attractors and their dimensions, Lyapunov exponents 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10]

Citation

Goubet, Olivier; Legry, Ludovic. Existence of a finite-dimensional global attractor for a damped Parametric nonlinear Schrödinger equation. Adv. Differential Equations 17 (2012), no. 9/10, 859--877. https://projecteuclid.org/euclid.ade/1355702925.


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