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Journal Articles Mathematical Control and Related Fields Year : 2023

ON THE CONTROLLABILITY OF THE BBM EQUATION

Abstract

In this article, we consider the nonlinear BBM equation on the torus. We use controls taking values in a finite dimensional space to show that the equation is approximately controllable in H1(T). We also show that the equation is not exactly controllable in Hs(T) for s ∈ [1, 2[.

Dates and versions

hal-04068550 , version 1 (14-04-2023)

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Melek Jellouli. ON THE CONTROLLABILITY OF THE BBM EQUATION. Mathematical Control and Related Fields, 2023, 13 (1), pp.415-430. ⟨10.3934/mcrf.2022002⟩. ⟨hal-04068550⟩
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