Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 372-01. Global Uniqueness for the Smooth Isotropic Elasticity Inverse Problem

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OpenAI@2026-10-07#rem:oai-p-372-01

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Authors: OpenAI. Family 372.

Title: Global Uniqueness for the Smooth Isotropic Elasticity Inverse Problem.

Abstract: We prove that the full static displacement-to-traction map uniquely determines both real smooth Lamé moduli on every bounded connected smooth domain in ℝ3, provided μ > 0 and $3{}lambda+2{}mu{}gt 0$ on the closure. This resolves the smooth three-dimensional isotropic elastic Calderón uniqueness problem under these positivity assumptions.

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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