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.
| Origine | Fichiers produits par l'(les) auteur(s) |
|---|---|
| Licence |