In the stable determination of the magnetic field in the Schrödinger equation and Borg-Levinson type theorem

Jeudi 12 avril 2018 15:45-16:45 - Mourad Bellassoued - Université de Tunis El Manar

Résumé : In this talk we consider the inverse problem of determining on a compact Riemannian manifold the electric potential or the magnetic field in a Schrödinger equation with Dirichlet data from measured Neumann boundary observations or spectral data. We prove that the knowledge of the Dirichlet-to-Neumann map or the spectral data for the Schrödinger equation uniquely determines the magnetic field and the electric potential and we establish Hölder-type stability.

Lieu : IMO, Salle 3L8

In the stable determination of the magnetic field in the Schrödinger equation and Borg-Levinson type theorem  Version PDF