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Partial data inverse problems for magnetic Schrödinger operators on conformally transversally anisotropic manifolds (2302.05107v3)
Published 10 Feb 2023 in math.AP, math-ph, and math.MP
Abstract: We study inverse boundary problems for the magnetic Schr\"odinger operator with H\"older continuous magnetic potentials and continuous electric potentials on a conformally transversally anisotropic Riemannian manifold of dimension n greater than or equal to three with connected boundary. A global uniqueness result is established for magnetic fields and electric potentials from the partial Cauchy data on the boundary of the manifold provided that the geodesic X-ray transform on the transversal manifold is injective.