Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering below the ground state for the 2$d$ radial nonlinear
  Schr\"odinger equation   We revisit the problem of scattering below the ground state threshold for the
mass-supercritical focusing nonlinear Schr\"odinger equation in two space
dimensions. We present a simple new proof that treats the case of radial
initial data. The key ingredient is a localized virial/Morawetz estimate; the
radial assumption aids in controlling the error terms resulting from the
spatial localization.

28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys