Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New lower bounds on the radius of spatial analyticity for the KdV
  equation   The radius of spatial analyticity for solutions of the KdV equation is
studied. It is shown that the analyticity radius does not decay faster than
$t^{-1/4}$ as time $t$ goes to infinity. This improves the works [Selberg, da
Silva, Lower bounds on the radius of spatial analyticity for the KdV equation,
Annales Henri Poincar\'{e}, 2017, 18(3): 1009-1023] and [Tesfahun, Asymptotic
lower bound for the radius of spatial analtyicity to solutions of KdV equation,
arXiv preprint arXiv:1707.07810, 2017]. Our strategy mainly relies on a higher
order almost conservation law in Gevrey spaces, which is inspired by the
$I-$method.

3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org