Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reflected Generalized Backward Doubly SDEs driven by L\'evy processes
  and Applications   In this paper, we study reflected generalized backward doubly stochastic
differential equations driven by Teugels martingales associated with L\'evy
process (RGBDSDELs, in short) with one continuous barrier. Under uniformly
Lipschitz coefficients, we prove existence and uniqueness result by means of
the penalization method and the fixed point theorem. As an application, this
study allows us to give a probabilistic representation for the solutions to a
class of reflected stochastic partial differential integral equations (SPDIEs,
in short) with a nonlinear Neumann boundary condition.

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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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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: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom