arXiv:1510.04247 Abstract | arXiv Analytics

arXiv:1510.04247 [math.AP]Abstract References Reviews Resources

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

Published 2015-10-14Version 1

In this paper we consider the inverse problem of determining on a compact Riemannian manifold the electric potential or the magnetic field in a Schr\"odinger equation with Dirichlet data from measured Neumann boundary observations. This information is enclosed in the dynamical Dirichlet-to-Neumann map associated to the magnetic Schr\"odinger equation. We prove that the knowledge of the Dirichlet-to-Neumann map for the Schr\"odinger equation uniquely determines the magnetic field and the electric potential and we establish H\"older-type stability.

Comments: arXiv admin note: substantial text overlap with arXiv:1006.0149

Categories: math.AP

Keywords: magnetic field, dynamical schrödinger equation, stable determination, electric potential, coefficients

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