Smooth anisotropic uniqueness in the Calderón problem from one boundary patch
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OpenAI
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.
Claims
SOLUTION CLAIMED
OP-00717 — Smooth anisotropic Calderón uniqueness
Files and sources
- Paper
- math @ 1581d4c, build/paper.tex ↗
- Posted on GitHub
- 6 October 2026
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