On Boundary Controllability for the Higher-Order Nonlinear Schrödinger Equation

Abstract

A control problem with final overdetermination is considered for the higher-order nonlinear Schrödinger equation on a bounded interval. The boundary condition on the space derivative is chosen as the control. Results on the global existence of solutions under small input data are established.

Keywords

• boundary controllability
• terminal overdetermination
• higher-order nonlinear Schrödinger equation
• initial-boundary value problem