Inverse problems for a Schrödinger equation defined in an unbounded domain

Nom de l'orateur
Yosra Soussi
Etablissement de l'orateur
Centre de physique théorique, Luminy
Date et heure de l'exposé
Lieu de l'exposé
salle des séminaires

In this talk, we discuss the stability issue for the inverse problem of determining the electric potential appearing in a Schrödinger equation defined on an infinite cylindrical waveguide. We consider both results of stability from full and partial boundary measurements associated with the so-called Dirichlet-to-Neumann map. In the presence of the magnetic potential, a second problem is considered for which we prove that the electric potential and the magnetic field depend stably on the global and partial Dirichlet-to-Neumann maps. Our approach combines construction of complex geometric optics solutions and Carleman estimates suitably designed for our stability results stated in an unbounded domain.