Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 06, pp. 1-18.

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

Authors: Eleni Bisognin   (Centro Univ. Franciscano, Santa Maria, Brasil)
         Vanilde Bisognin (Centro Univ. Franciscano, Santa Maria, Brasil)
	 Octavio Paulo Vera Villagran (Univ. del Bio-Bio, Concepcion, Chile)

Abstract:
 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.
 
Submitted August 2, 2006. Published January 2, 2007.
Math Subject Classifications: 35K60, 93C20.
Key Words: Higher order nonlinear Schrodinger equation;
           stabilization; localized damping.