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2015 | 13 | 1 |

Article title

A Note on Optimal Control Problem Governed by
Schrödinger Equation


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In this work, we present some results showing
the controllability of the linear Schrödinger equation with
complex potentials. Firstly we investigate the existence
and uniqueness theorem for solution of the considered
problem. Then we find the gradient of the cost functional
with the help of Hamilton-Pontryagin functions. Finally
we state a necessary condition in the form of variational
inequality for the optimal solution using this gradient.








Physical description


26 - 11 - 2015
28 - 9 - 2015
31 - 12 - 2015


  • Department of Mathematics,
    Ağrı İbrahim Çeçen Universty,Faculty of Science and
  • Department of Mathematics, Ataturk University,
    Faculty of Science, Erzurum, Turkey
  • Department of Mathematics, Kafkas University,
    Faculty of Science and Art, Kars, Turkey


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