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On the bilinear control of the Gross-Pitaevskii equation

In this paper we study the bilinear-control problem for the linear and non-linear Schr{ö}dinger equation with harmonic potential. By the means of different examples, we show how space-time smoothing effects (Strichartz estimates, Kato smoothing effect) enjoyed by the linear flow, can help to prove obstructions to controllability.

preprint2020arXivOpen access
Thomas ChambrionLaurent Thomann
math.APmath.OC
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Thomas ChambrionLaurent Thomann

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