Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic Volterra integral equations and a class of first order
  stochastic partial differential equations   We investigate stochastic Volterra equations and their limiting laws. The
stochastic Volterra equations we consider are driven by a Hilbert space valued
\Levy noise and integration kernels may have non-linear dependence on the
current state of the process. Our method is based on an embedding into a
Hilbert space of functions which allows to represent the solution of the
Volterra equation as the boundary value of a solution to a stochastic partial
differential equation. We first gather abstract results and give more detailed
conditions in more specific function spaces.

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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: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex