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arxiv: 1005.3382 · v1 · submitted 2010-05-19 · 🧮 math.AP

Quantitative strong unique continuation for the Lam\'e system with less regular coefficients

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keywords coefficientscontinuationlambdalipschitzquantitativeresultstrongsystem
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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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