Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some $L_{p}$-estimates for elliptic and parabolic operators with
  measurable coefficients   We consider linear elliptic and parabolic equations with measurable
coefficients and prove two types of $L_{p}$-estimates for their solutions,
which were recently used in the theory of fully nonlinear elliptic and
parabolic second order equations in \cite{DKL}. The first type is an estimate
of the $\gamma$th norm of the second-order derivatives, where $\gamma\in(0,1)$,
and the second type deals with estimates of the resolvent operators in $L_{p}$
when the first-order coefficients are summable to an appropriate power.

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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin