Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounded Sobolev Norms for Linear Schr\"odinger Equations Under Resonant
  Perturbations   We prove that the Sobolev norm for a 1-D periodic Schroedinger equation
remain bounded under small resonant perturbations.

1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th