info:eu-repo/semantics/article
Optimal distributed control problem for cubic nonlinear Schrödinger equation
Fecha
2018-12Registro en:
Sanchez Fernandez de la Vega, Constanza Mariel; Rial, Diego Fernando; Optimal distributed control problem for cubic nonlinear Schrödinger equation; Springer London Ltd; Mathematics Of Control Signals And Systems; 30; 4; 12-2018; 1-24
0932-4194
CONICET Digital
CONICET
Autor
Sanchez Fernandez de la Vega, Constanza Mariel
Rial, Diego Fernando
Resumen
We consider an optimal internal control problem for the cubic nonlinear Schrödinger (NLS) equation on the line. We prove well-posedness of the problem and existence of an optimal control. In addition, we show first-order optimality conditions. Also, the paper includes the proof of a smoothing effect for the non-homogeneous NLS, which is necessary to obtain the existence of an optimal control.