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Preprint in the OpenAI Math release

Global Uniqueness for the Smooth Isotropic Elasticity Inverse Problem

OpenAI

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 ℝ, provided μ > 0 and on the closure. This resolves the smooth three-dimensional isotropic elastic Calderón uniqueness problem under these positivity assumptions.

open until 1 Jan 2028

est. 50% chance this result is independently verified by the end of 2027.

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