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Preprint in the OpenAI Math release

Smooth anisotropic uniqueness in the Calderón problem from one boundary patch

OpenAI

Abstract

We resolve the smooth anisotropic Calderón uniqueness problem with arbitrary same-patch measurements. A smooth Riemannian metric on a compact connected manifold of dimension at least three is determined, up to a diffeomorphism fixing the measured patch, by its zero-frequency Dirichlet-to-Neumann energy form with both input and observation on any nonempty open boundary patch.

open until 1 Jan 2028

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