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arXiv · 1903.04185

Obstruction to the billinear control of the Gross-Pitaevskii equation: an example with an unbounded potential

Thomas Chambrion·Laurent Thomann
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Abstract

In 1982, Ball, Marsden, and Slemrod proved an obstruction to the controllability of linear dynamics with a bounded bilinear control term. This note presents an example of nonlinear dynamics with respect to the state for which this obstruction still holds while the control potential is not bounded.

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Thomas Chambrion, Laurent Thomann. 2019-03-11. Obstruction to the billinear control of the Gross-Pitaevskii equation: an example with an unbounded potential. https://arxiv.org/abs/1903.04185

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