Franciane Vieira - UFPI

Título:

Hierarchical approximate controllability for the Schrödinger equation in noncylindrical domains.

Resumo:

We establish hierarchical controllability results for the linear Schrödinger equation in a noncylindrical domain Q of R^n+1. We consider, according to the Stackelberg-Nash strategy, one leader control and two followers. The three of them acting on the noncylindric boundary. We present the existence and uniqueness of Nash equilibrium and the approximate controllability with respect to the leader control.

This is a joint work with Gilcenio R. Sousa-Neto and Isaías P. de Jesus.