Control of the Grushin equation: non-rectangular control region and minimal time (1807.01241v2)

Published 3 Jul 2018 in math.AP

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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