Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On resolvent approximations of elliptic differential operators with
  locally periodic coefficients   We study the asymptotic behaviour, as the small parameter $\varepsilon$ tends
to zero, of the resolvents of uniformly elliptic second-order differential
operators with locally periodic coefficients depending on the slow variable $x$
and the fast variable $x/\varepsilon$, with periodicity only in the fast
variable. We provide a construction for the leading terms in the operator
asymptotics of these resolvents in the sense of $L^2$-operator-norm convergence
with order $\varepsilon^2$ remainder estimates. We apply the modified method of
the first approximation with the usage of the shift.

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The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat