Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering below ground state of 3D focusing cubic fractional
  Schordinger equation with radial data   The aim of this note is to adapt the strategy in [4][See,B.Dodson, J.Murphy,
a new proof of scattering below the ground state for the 3D radial focusing
cubic NLS, arXiv:1611.04195 ] to prove the scattering of radial solutions below
sharp threshold for certain focusing fractional NLS with cubic nonlinearity.
The main ingredient is to apply the fractional virial identity proved in
[11][See,T.Boulenger, D.Himmelsbach,E.Lenzmann, Blow up for fractional
NLS,J.Func.Anal,271(2016),2569-2603] to exclude the concentration of mass near
the origin.

1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph