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| We consider an inverse problem for a Schrodinger equation defined on an open, bounded, connected set of a complete n-dimensional Riemannian manifold, with non-homogeneous Dirichlet boundary conditions. The goal is to recover the electric potential by means of a Neumann boundary measurement on an explicit sub portion of the boundary. Both uniqueness and stability of the recovery are obtained in terms of sharp conditions on the data. A key ingredient of the investigation are the Carleman estimates in Triggiani-Xu (2007) of the Schrodinger equation on a Riemannian manifold. |
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