Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal three-ball inequalities and quantitative uniqueness for the
  Lam\'e system with Lipschitz coefficients   In this paper we study the local behavior of a solution to the Lam\'e system
with \emph{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. This paper solves the open
problem of the strong uniqueness continuation property for the Lam\'e system
with Lipschitz coefficients in any dimension.

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The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol