Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the persistence properties of solutions of nonlinear dispersive
  equations in weighted Sobolev spaces   We study persistence properties of solutions to some canonical dispersive
models, namely the semi-linear Schr\"odinger equation, the $k$-generalized
Korteweg-de Vries equation and the Benjamin-Ono equation, in weighted Sobolev
spaces $H^s(\R^n)\cap L^2(|x|^ldx),\;s,\,l>0$

25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc