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In this paper, we consider the inverse problem of determining on a compact Riemannian manifold the electric potential and the absorption coefficient in the wave equation with Dirichlet data from… Click to show full abstract
In this paper, we consider the inverse problem of determining on a compact Riemannian manifold the electric potential and the absorption coefficient in the wave equation with Dirichlet data from measured Neumann boundary observations. This information is enclosed in the dynamical Dirichlet-to-Neumann map associated with the wave equation. We prove in dimension $$n\ge 2$$n≥2 that the knowledge of the Dirichlet-to-Neumann map for the wave equation uniquely determines the absorption coefficient and the electric potential, and we establish Hölder-type stability.
Journal Title: Annals of Global Analysis and Geometry
Year Published: 2019
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