Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic maximal $L^p$-regularity   In this article we prove a maximal $L^p$-regularity result for stochastic
convolutions, which extends Krylov's basic mixed $L^p(L^q)$-inequality for the
Laplace operator on ${\mathbb{R}}^d$ to large classes of elliptic operators,
both on ${\mathbb{R}}^d$ and on bounded domains in ${\mathbb{R}}^d$ with
various boundary conditions. Our method of proof is based on McIntosh's
$H^{\infty}$-functional calculus, $R$-boundedness techniques and sharp
$L^p(L^q)$-square function estimates for stochastic integrals in $L^q$-spaces.
Under an additional invertibility assumption on $A$, a maximal space--time
$L^p$-regularity result is obtained as well.

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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph