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math.OC2019
Obstruction to the billinear control of the Gross-Pitaevskii equation: an example with an unbounded potential
Thomas Chambrion, Laurent Thomann
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…
math.OC2018★ 12 cited
A topological obstruction to the controllability of nonlinear wave equations with bilinear control term
Thomas Chambrion, Laurent Thomann
In this paper we prove that the Ball-Marsden-Slemrod controllability obstruction also holds for nonlinear equations, with integrable bilinear controls. We first show an abstract re…