Optimal bilinear control of nonlinear Schr\"odinger equations with singular potentials
Abstract
In this paper, we consider an optimal bilinear control problem for the nonlinear Schr\"odinger equations with singular potentials. We show well-posedness of the problem and existence of an optimal control. In addition, the first order optimality system is rigorously derived. Our results generalize the ones in Sp in several aspects.
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