INVESTIGADORES
RIAL Diego Fernando
artículos
Título:
Optimal distributed control problem for cubic nonlinear Schrödinger equation
Autor/es:
DE LA VEGA, CONSTANZA S. FERNÁNDEZ; RIAL, DIEGO
Revista:
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS
Editorial:
SPRINGER LONDON LTD
Referencias:
Año: 2018 vol. 30
ISSN:
0932-4194
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.
