Quantitative strong unique continuation for the Lamé system with less regular coefficients

Details Quantitative strong unique continuation for the Lamé system with less regular coefficients Quantitative strong unique continuation for the Lamé system with less regular coefficients

2010-05-19

arxiv.org/abs/1005.3382v1

Mathematics

Analysis of PDEs

10 pages

Scientific paper

In this paper we prove a quantitative form of the strong unique continuation
property for the Lam\'e system when the Lam\'e coefficients $\mu$ is Lipschitz
and $\lambda$ is essentially bounded in dimension $n\ge 2$. This result is an
improvement of our earlier result \cite{lin5} in which both $\mu$ and $\lambda$
were assumed to be Lipschitz.

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