Stabilization of solutions to higher-order nonlinear Schrodinger equation with localized damping

We study the stabilization of solutions to higher-order nonlinear Schrodinger equations in a bounded interval under the effect of a localized damping mechanism. We use multiplier techniques to obtain exponential decay in time of the solutions of the linear and nonlinear equations.

Bibliographic Details
Main Authors: Eleni Bisognin, Vanilde Bisognin, Octavio Paulo Vera Villagran
Format: Article
Language:English
Published: Texas State University 2007-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://eje/math.txstate.edu/Volumes/2007/06/abstr.html
Description
Summary:We study the stabilization of solutions to higher-order nonlinear Schrodinger equations in a bounded interval under the effect of a localized damping mechanism. We use multiplier techniques to obtain exponential decay in time of the solutions of the linear and nonlinear equations.
ISSN:1072-6691