| Abstract: |
| In this talk, we will discuss an analog of the anisotropic Calderon problem for fractional Schrodinger operators on closed Riemannian manifolds of dimension two and higher. We will demonstrate that the knowledge of a Cauchy data set of solutions to the fractional Schrodinger equation, given on an open nonempty subset of the manifold, determines both the Riemannian manifold up to an isometry and the potential up to the corresponding gauge transformation, under certain geometric assumptions on the manifold as well as the observation set. This is joint work with Ali Feizmohammadi and Gunther Uhlmann. |
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