Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering for NLS with a potential on the line   We show the $H^{1}$ scattering for a one dimensional nonlinear Schr\"odinger
equation with a non-negative, repulsive potential $V$ such that $V,xV\in
W^{1,1}$, and a mass-supercritical non-linearity. We follow the approach of
concentration-compacity/rigidity first introduced by Kenig and Merle.

37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org