Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbative theory for the Boltzmann equation in bounded domains with
  different boundary conditions   We study the Boltzmann equation near a global Maxwellian in the case of
bounded domains. We consider the boundary conditions to be either specular
reflections or Maxwellian diffusion. Starting from the reference work of Guo in
$L^\infty_{x,v}\left(\left(1+|v|\right)^\beta e^{|v|^2/4}\right)$, we prove
existence, uniqueness, continuity and positivity of solutions for less
restrictive weights in the velocity variable; namely, polynomials and stretch
exponentials. The methods developed here are constructive.

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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
16
The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg