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arxiv: 1205.4436 · v1 · pith:LTABBHTGnew · submitted 2012-05-20 · 🧮 math-ph · math.AP· math.MP

On reconstruction of Lam\'e coefficients from partial Cauchy data in three dimensions

classification 🧮 math-ph math.APmath.MP
keywords cauchycoefficientsdatadimensionspartialthreearbitraryboundary
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For the isotropic Lam\'e system, we prove in dimensions three or larger that both Lam\'e coefficients are uniquely recovered from partial Cauchy data on an arbitrary open subset of the boundary provided that the coefficient $\mu$ is a priori close to a constant.

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