Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gevrey Regularity for Solutions of the Non-Cutoff Boltzmann Equation:
  Spatially Inhomogeneous Case   In this paper we consider the non-cutoff Boltzmann equation in spatially
inhomogeneous case. We prove the propagation of Gevrey regularity for the
so-called smooth Maxwellian decay solutions to the Cauchy problem of spatially
inhomogeneous Boltzmann equation, and obtain Gevrey regularity of order
$1/(2s)$ in the velocity variable $v$ and order 1 in the space variable $x$.
The strategy relies on our recent results for spatially homogeneous case (J.
Diff. Equ. 253(4) (2012), 1172-1190. DOI: 10.1016/j.jde.2012.04.023). Rather,
we need much more intricate analysis additionally in order to handle with the
coupling of the double variables. Combining with the previous result mentioned
above, it gives a whole characterization of the Gevrey regularity of the
particular kind of solutions to the non-cutoff Boltzmann.

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The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat