Akademik Veri Yönetim Sistemi
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, cilt.12, sa.3, ss.503-512, 2019 (SCI-Expanded)
In this paper, an optimal control problem for Schrodinger equation with complex coefficient which contains gradient is examined. A theorem is given that states the existence and uniqueness of the solution of the initial-boundary value problem for Schrodinger equation. Then for the solution of the optimal control problem, two different cases are investigated. Firstly, it is shown that the optimal control problem has a unique solution for alpha > 0 on a dense subset G on the space H which contains the measurable square integrable functions on (0, l) and secondly the optimal control problem has at least one solution for any alpha >= 0 on the space H.