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math.AP2026
Fractional Calderón problem with a potential
Ali Feizmohammadi, Katya Krupchyk, Gunther Uhlmann
We prove that the knowledge of local Cauchy data for a fractional Schrödinger equation on a smooth closed and connected Riemannian manifold of dimension at least two determines the…
math.AP2026
The anisotropic Calderón problem for Riemannian metrics at high fixed frequency
Mihajlo Cekić, Katya Krupchyk, Suman Kumar Sahoo +1
We study an inverse boundary value problem for the Helmholtz equation on a smooth compact non-trapping Riemannian manifold with strictly convex boundary. We prove that, given two s…