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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