Obstruction to the billinear control of the Gross-Pitaevskii equation: an example with an unbounded potential
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math.AP
keywords
controlobstructionboundeddynamicsexamplepotentialballbilinear
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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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