Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gevrey Smoothing Effect of Solutions to Non-Cutoff Boltzmann Equation
  for Soft Potential with Mild and Critical Singularity   In this paper we study the Gevrey smoothing effect of solutions to the
non-cutoff spatially homogeneous and inhomogeneous Boltzmann equation for soft
potential. We consider the mild singularity case $s<1/2$ as we did in the
previous work for spatially homogeneous case (J. Diff. Equ. 253(4) (2012),
1172-1190. DOI: 10.1016/j.jde.2012.04.023) and for spatially inhomogeneous case
(arXiv:1304.2971), and try to extend the range of $\gamma$. We derive a new
coercivity estimate for collision operator, using which we can obtain the
Gevrey regularity for $\gamma \in (-5/2,0)$ improving the previous assumption
$\gamma \in (-1-2s,0)$. Besides, we consider $\gamma$ and $s$ separately
instead of viewing $\gamma+2s$ as one untied quantity.

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The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph