Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak solutions for singular multiplicative SDEs via regularization by
  noise   We study multiplicative SDEs perturbed by an additive fractional Brownian
motion on another probability space. Provided the Hurst parameter is chosen in
a specified regime, we establish existence of probabilistically weak solutions
to the SDE if the measurable diffusion coefficient merely satisfies an
integrability condition. In particular, this allows to consider certain
singular diffusion coefficients.

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The categories of this paper are: physics
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin