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arXiv · 1810.09792

On the bilinear control of the Gross-Pitaevskii equation

Thomas Chambrion·Laurent Thomann
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Abstract

In this paper we study the bilinear-control problem for the linear and non-linear Schr{\"o}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.

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Thomas Chambrion, Laurent Thomann. 2018-10-23. On the bilinear control of the Gross-Pitaevskii equation. https://arxiv.org/abs/1810.09792

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