Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On global regular solution branches and multiple solutions of the
  Boltzmann equation   Existence of global regular solution branches of the Boltzmann Cauchy problem
with continuously differentiable data in phase space dimension $2d\geq 6$ with
polynomial decay at infinity of order greater than $2d$ is proved. There are
data in this class of infinite relative entropy with respect to the Gaussian.
Furthermore, there are weakly singular solution branches of the Boltzmann
equation in spatial dimension $d\geq 3$, i.e., solutions of the Boltzmann
equations which are only Lipschitz with respect to the velocity variables at
some point in phase space. This is in accordance with a.e. $L^1$-uniqueness of
renormalized solutions (cf.\cite{L}) and more classical results in function
spaces of mixed regularity.

17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph