Abstract
In this article we study the local behavior of a solution to the Lamé system with Lipschitz coefficients in dimension . Our main result is the bound on the vanishing order of a nontrivial solution, which immediately implies the strong unique continuation property (SUCP). We solve the open problem of the SUCP for the Lamé system with Lipschitz coefficients in any dimension.
Citation
Ching-Lung Lin. Gen Nakamura. Jenn-Nan Wang. "Optimal three-ball inequalities and quantitative uniqueness for the Lamé system with Lipschitz coefficients." Duke Math. J. 155 (1) 189 - 204, 1 October 2010. https://doi.org/10.1215/00127094-2010-054
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