Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 365-02. Smooth anisotropic uniqueness in the Calderón problem from one boundary patch
Manuscript map · lines 9405–9414
OpenAI@2026-10-07#rem:oai-p-365-02
Authors: OpenAI. Family 365.
Title: Smooth anisotropic uniqueness in the Calderón problem from one boundary patch.
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.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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