PDE and mathematical physics · Oct 6, 2026

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 ℝ3, provided μ > 0 and 3λ+2μ>03\lambda+2\mu\gt 0 on the closure. Neither analyticity, proximity to constant coefficients nor prior knowledge near the boundary is required.

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