Article Dans Une Revue Evolution Equations and Control Theory Année : 2024

Null controllability of KdV equation in a star-shaped network

Résumé

The boundary null controllability of a system of linear KdV equations posed on a star-shaped network is studied. The controls are located on the right Dirichlet and Neumann conditions of 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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Hugo Parada. Null controllability of KdV equation in a star-shaped network. Evolution Equations and Control Theory, 2024, 13 (3), pp.719-750. ⟨10.3934/eect.2024003⟩. ⟨hal-04169908⟩
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