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
  Stokes system   In this paper we study the local behavior of a solution to the Stokes system
with singular coefficients. One of the main results is the bound on the
vanishing order of a nontrivial solution to the Stokes system, which is a
quantitative version of the strong unique continuation property. Our proof
relies on some delicate Carleman-type estimates. We first use these estimates
to derive crucial \emph{optimal} three-ball inequalities. Taking advantage of
the optimality, we then derive an upper bound on the vanishing order of any
nontrivial solution to the Stokes system from those three-ball inequalities.

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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas