## Duke Mathematical Journal

### Optimal three-ball inequalities and quantitative uniqueness for the Lamé system with Lipschitz coefficients

#### Abstract

In this article we study the local behavior of a solution to the Lamé system with Lipschitz coefficients in dimension $n\ge 2$. 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.

#### Article information

Source
Duke Math. J., Volume 155, Number 1 (2010), 189-204.

Dates
First available in Project Euclid: 23 September 2010

https://projecteuclid.org/euclid.dmj/1285247222

Digital Object Identifier
doi:10.1215/00127094-2010-054

Mathematical Reviews number (MathSciNet)
MR2730376

Zentralblatt MATH identifier
1202.35325

Subjects
Primary: 35Q72
Secondary: 35J55

#### Citation

Lin, Ching-Lung; Nakamura, Gen; Wang, Jenn-Nan. Optimal three-ball inequalities and quantitative uniqueness for the Lamé system with Lipschitz coefficients. Duke Math. J. 155 (2010), no. 1, 189--204. doi:10.1215/00127094-2010-054. https://projecteuclid.org/euclid.dmj/1285247222

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