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arxiv: 0811.1262 · v5 · submitted 2008-11-08 · 🧮 math.AP

Three spheres inequalities and unique continuation for a three-dimensional Lam\'e system of elasticity with C¹ coefficients

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keywords continuationinequalitiesspheressystemthreeuniqueassumingcoefficients
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Assuming that the Lam\'{e} moduli $\mu$, $\lambda$ are $C^{\tiny{1}}$ and $n\geq2$, we prove quantitative estimates of a weak sense of strong unique continuation for thesolutions of the n-dimensional Lam\'{e} system of the form of three spheres inequalities.

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