Boundary null controllability of convection-diffusion equations with constraints on the state and application to the identification of boundary pollution parameters
Contrôlabilité frontière à zéro pour les équations de convection-diffusion avec contrainte sur l'état et application à l'identification de paramètres de pollution frontière
Résumé
We study a null controllability problem for a convection-diffusion equation with the control contained in Fourier boundary condition to identify M parameters of pollution. The results are achieved by means of an observability inequality derived from new Carleman estimates for the boundary null controllability and the construction of a boundary sentinel to identify the parameters.