OpenAI reports uniqueness in the smooth isotropic elasticity inverse problem

On any bounded connected smooth domain in three-dimensional Euclidean space, equality of full static displacement-to-traction maps for two smooth real Lamé-modulus pairs with μ>0 and 3λ+2μ>0 on the closure forces both moduli to agree throughout the domain.

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Understanding the problem

Read the background

On any bounded connected smooth domain in three-dimensional Euclidean space, equality of full static displacement-to-traction maps for two smooth real Lamé-modulus pairs with μ>0 and 3λ+2μ>0 on the closure forces both moduli to agree throughout the domain.

Why it matters

If correct, resolves global uniqueness for two smooth three-dimensional isotropic elastic moduli from full zero-frequency boundary data.

What counts as progress

Do full static boundary measurements uniquely determine smooth isotropic elastic moduli in three dimensions?

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