Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Malliavin regularity and weak approximation of semilinear SPDE with
  L\'evy noise   We investigate the weak order of convergence for space-time discrete
approximations of semilinear parabolic stochastic evolution equations driven by
additive square-integrable L\'evy noise. To this end, the Malliavin regularity
of the solution is analyzed and recent results on refined Malliavin-Sobolev
spaces from the Gaussian setting are extended to a Poissonian setting. For a
class of path-dependent test functions, we obtain that the weak rate of
convergence is twice the strong rate.

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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: eess
0
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: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol