Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximate Correctors and Convergence Rates in Almost-Periodic
  Homogenization   We carry out a comprehensive study of quantitative homogenization of
second-order elliptic systems with bounded measurable coefficients that are
almost-periodic in the sense of H. Weyl. We obtain uniform local $L^2$
estimates for the approximate correctors in terms of a function that quantifies
the almost-periodicity of the coefficient matrix. We give a condition that
implies the existence of (true) correctors. These estimates as well as similar
estimates for the dual approximate correctors yield optimal or near optimal
convergence rates in $H^1$ and $L^2$.The $L^2$-based H\"older and Lipschitz
estimates at large scale are also established.

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The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
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The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat