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Anisotropic Calderón Problem for a Non-Local Second Order Elliptic Operator

Published 18 May 2025 in math.AP | (2505.12255v3)

Abstract: This paper investigates the anisotropic Calder\'{o}n 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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