Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of the Stokes projection on weighted spaces and applications   We show that, on convex polytopes and two or three dimensions, the finite
element Stokes projection is stable on weighted spaces
$\mathbf{W}^{1,p}_0(\omega,\Omega) \times L^p(\omega,\Omega)$, where the weight
belongs to a certain Muckenhoupt class and the integrability index can be
different from two. We show how this estimate can be applied to obtain error
estimates for approximations of the solution to the Stokes problem with
singular sources.

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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph