Stabilization of solutions to higher-order nonlinear Schrödinger equation with localized damping
Date
2007-01-02
Authors
Bisognin, Eleni
Bisognin, Vanilde
Vera, Octavio
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We study the stabilization of solutions to higher-order nonlinear Schrödinger 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.
Description
Keywords
Higher order nonlinear Schrödinger equation, Stabilization, Localized damping
Citation
Bisognin, E., Bisognin, V., & Vera Villagran, O. P. (2007). Stabilization of solutions to higher-order nonlinear Schrödinger equation with localized damping. <i>Electronic Journal of Differential Equations, 2007</i>(06), pp. 1-18.