Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schauder estimates for stochastic transport-diffusion equations with
  L\'{e}vy processes   We consider a transport-diffusion equation with L\'{e}vy noises and
H\"{o}lder continuous coefficients. By using the heat kernel estimates, we
derive the Schauder estimates for the mild solutions. Moreover, when the
transport term vanishes and $p=2$, we show that the H\"{o}lder index in space
variable is optimal.

21
The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
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The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: econ
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci