Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the $L^{2}$-critical nonlinear Schrodinger equation with an
  inhomogeneous damping term   We consider the $L^2$-critical nonlinear Schrodinger equation with an
inhomogeneous damping term. We prove that there exists an initial data such
that the corresponding solution is global in $H^1(R^d)$ and we give the minimal
time of the blow up for some initial data.

29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
9
The categories of this paper are: nlin