Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $L^p$-parabolic regularity and non-degenerate Ornstein-Uhlenbeck type
  operators   We prove $L^p$-parabolic a-priori estimates for $\partial_t u +
\sum_{i,j=1}^d c_{ij}(t)\partial_{x_i x_j}^2 u = f $ on $R^{d+1}$ when the
coefficients $c_{ij}$ are locally bounded functions on $R$. We slightly
generalize the usual parabolicity assumption and show that still
$L^p$-estimates hold for the second spatial derivatives of $u$. We also
investigate the dependence of the constant appearing in such estimates from the
parabolicity constant. Finally we extend our estimates to parabolic equations
involving non-degenerate Ornstein-Uhlenbeck type operators.

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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th