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Well-Posedness of Optimal Control Problem for the Schrodinger Equations with Complex Potential

Yusuf Koçak, Mustafa Ali DOKUYUCU, Ercan Çelik

Abstract



We consider an optimal control problem for a Schrödinger equation with complex potential. The Control of this equation is in the coefficient of the state equation. Firstly we prove existence and uniqueness of the solution of the optimal control problem. Then showing Fréchet differentiability of the cost functional, we obtain a necessary conditions for this solution.
Keywords:

Keywords


Optimal control, Schrödinger equation, Hamilton-Pontryagin Functions

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