clopen.solutions

Smooth anisotropic uniqueness in the Calderón problem from one boundary patch

Recorded by the registry's curators from GitHub; the authors did not submit it here.

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-00664 — Calderón uniqueness from an arbitrary local boundary patch
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SOLUTION CLAIMED OP-00717 — Smooth anisotropic Calderón uniqueness
Full resolution · fidelity not yet established

Files and sources

Paper
math @ 1581d4c, build/paper.tex ↗
Posted on GitHub
6 October 2026

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