Optimal control of an age-structured system with state constraints.

par Justina Gianatti (Ecole Polytechnique)

vendredi 22 mars 2019, 11:00 → 12:00 Europe/Paris

XLIM Salle X.203

The aim of this work is to study an optimal control problem with state constraints where the state is given by an age-structured, abstract parabolic differential equation. We prove the existence and uniqueness of solution for the state equation and provide first and second parabolic estimates. We analyze the differentiability of the cost function and, based on the general theory of Lagrange multipliers, we give a first order optimality condition. Finally, we study the regularity of the adjoint state.