Family 372Partial differential equationsNo LeanNot yet digested
Global uniqueness in smooth isotropic elasticity
Proves that full static boundary displacement-to-traction data determine both smooth real Lamé moduli on every bounded connected smooth domain in ℝ, provided μ > 0 and on the closure. Neither analyticity, proximity to constant coefficients nor prior knowledge near the boundary is required.
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Global Uniqueness for the Smooth Isotropic Elasticity Inverse Problem
Sep 24, 2026·article.pdf
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.