Local controllability of nonlinear Schrödinger equations on tori

Jingrui Niu (LJLL, Sorbonne Université)

Jeudi 19 octobre, 11h00, salle Coriolis (Galois).

Abstract. In this talk, I would like to introduce some recent results on exact controllability for quasi-linear Hamiltonian Schrödinger equations on tori of dimension d ≥ 2. The result holds true for sufficiently small initial conditions satisfying natural minimal regularity assumptions, provided that the region of control satisfies the geometric control condition. I will also present the application of the para-linearization scheme and semiclassical measures in this controllability problem. This work is in collaboration with Felice Iandoli.