Anisotropic Calder\'on Problem for a Non-Local Second Order Elliptic Operator

Abstract

This paper investigates the anisotropic Calder\'on problem for a non-local elliptic operator of order 2, on closed Riemannian manifolds. We demonstrate that using the Cauchy data set, we can recover the geometry of a closed Riemannian manifold up to standard gauge.

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