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arXiv · 1807.01241

Control of the Grushin equation: non-rectangular control region and minimal time

Michel Duprez·Armand Koenig
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Abstract

This paper is devoted to the study of the internal null-controllability of the Grushin equation. We determine the minimal time of controllability for a large class of non-rectangular control region. We establish the positive result thanks to the fictitious control method and the negative one by interpreting the associated observability inequality as an $L^2$ estimate on complex polynomials.

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Michel Duprez, Armand Koenig. 2018-07-03. Control of the Grushin equation: non-rectangular control region and minimal time. https://arxiv.org/abs/1807.01241

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