Stabilization of solutions to higher-order nonlinear Schrödinger equation with localized damping
Texas State University-San Marcos, Department of Mathematics
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.
Higher order nonlinear Schrödinger equation, Stabilization, Localized damping
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.