Stabilization of solutions to higher-order nonlinear Schrödinger equation with localized damping. (English) Zbl 1387.35542
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.
MSC:
35Q55 | NLS equations (nonlinear Schrödinger equations) |
35B35 | Stability in context of PDEs |
93D15 | Stabilization of systems by feedback |
93C20 | Control/observation systems governed by partial differential equations |