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Stable determination of coefficients in the dynamical Schrödinger equation in a magnetic field

Stable determination of coefficients in the dynamical Schrödinger equation in a magnetic field

In this paper we consider the inverse problem of determining, on a compact Riemannian manifold, the electric potential or the magnetic field in a Schrödinger equation via Dirichlet data from measured Neumann boundary observations. This information is enclosed in the dynamical Dirichlet-to-Neumann map associated to the magnetic Schrödinger equation. We …