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Pré-Publication, Document De Travail Année : 2023

Boundary null controllability of KdV equation in a star-shaped network

Hugo Parada

Résumé

The boundary null controllability of a system of N linear KdV equations posed on a star-shaped network is studied. The controls are located on the right Dirichlet and Neumann conditions of N − 1 edges. First, we study the well-posedness of the system considered by using the notion of solution by transposition and interpolation arguments. Then, a Carleman inequality is shown for the adjoint system. Finally, using a dissipation estimate and the Carleman estimate, we show an observability inequality that is equivalent to null controllability.
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Dates et versions

hal-04169908 , version 1 (24-07-2023)

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  • HAL Id : hal-04169908 , version 1

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Hugo Parada. Boundary null controllability of KdV equation in a star-shaped network. 2023. ⟨hal-04169908⟩
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