Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Instantaneous exponential lower bound for solutions to the Boltzmann
  equation with Maxwellian diffusion boundary conditions   We prove the immediate appearance of an exponential lower bound, uniform in
time and space, for continuous mild solutions to the full Boltzmann equation in
a $C^2$ convex bounded domain with the physical Maxwellian diffusion boundary
conditions, under the sole assumption of regularity of the solution. We
investigate a wide range of collision kernels, with and without Grad's angular
cutoff assumption. In particular, the lower bound is proven to be Maxwellian in
the case of cutoff collision kernels. Moreover, these results are entirely
constructive if the initial distribution contains no vacuum, with explicit
constants depending only on the \textit{a priori} bounds on the solution.

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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: stat