Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bootstrapped Morawetz Estimates And Resonant Decomposition For Low
  Regularity Global Solutions Of Cubic NLS On R^{2}   We prove global well-posedness for the L^{2}-critical cubic defocusing
nonlinear Schr\"odinger equation on R^{2} with data u_{0} \in H^{s}(R^{2}) for
s > {1/3}.

32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat