Analyticity is the exact regularity threshold for uniqueness in the Riemannian Schrödinger problem with fixed analytic potential and in the anisotropic Calderón problem at fixed frequency.
Uhlmann, Electrical impedance tomography and Calderón’s problem, Inverse Problems 25 (2009), no
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A Sharp Regularity Threshold for Uniqueness in Riemannian Calder\'on-type Problems
Analyticity is the exact regularity threshold for uniqueness in the Riemannian Schrödinger problem with fixed analytic potential and in the anisotropic Calderón problem at fixed frequency.