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arXiv · 1301.4335

Optimal bilinear control of nonlinear Schrödinger equations with singular potentials

Binhua Feng·Dun Zhao·Pengyu Chen
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Abstract

In this paper, we consider an optimal bilinear control problem for the nonlinear Schrödinger 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 \cite{Sp} in several aspects.

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Binhua Feng, Dun Zhao, Pengyu Chen. 2013-01-18. Optimal bilinear control of nonlinear Schrödinger equations with singular potentials. https://arxiv.org/abs/1301.4335

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