Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Schauder estimate in kinetic theory with application to a toy
  nonlinear model   This article is concerned with the Schauder estimate for linear kinetic
Fokker-Planck equations with H\"older continuous coefficients. This equation
has an hypoelliptic structure. As an application of this Schauder estimate, we
prove the global well-posedness of a toy nonlinear model in kinetic theory.
This nonlinear model consists in a non-linear kinetic Fokker-Planck equation
whose steady states are Maxwellian and whose diffusion in the velocity variable
is proportional to the mass of the solution.

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The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph