Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global attractor for weakly damped Nonlinear Schr\"odinger equations in
  $L^2(\R)$   We prove that the weakly damped nonlinear Schr\"odinger flow in
$L^2(\mathbb{R})$ provides a dynamical system which possesses a global
attractor. The proof relies on the continuity of the Schr\"odinger flow for the
weak topology in $L^2(\R)$.

3
The categories of this paper are: physics
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol