Three spheres inequalities and unique continuation for a three-dimensional Lamé system of elasticity with C^1 coefficients

Details Three spheres inequalities and unique continuation for a three-dimensional Lamé system of elasticity with C^1 coefficients Three spheres inequalities and unique continuation for a three-dimensional Lamé system of elasticity with C^1 coefficients

2008-11-08

arxiv.org/abs/0811.1262v5

Mathematics

Analysis of PDEs

14 pages

Scientific paper

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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