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

Abstract

Assuming that the Lamé moduli $\mu$, $\lambda$ are $C^1$ and $n\ge 2$, we prove quantitative estimates of a weak sense of strong unique continuation for thesolutions of the n-dimensional Lamé system of the form of three spheres inequalities.

14 pages