Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some local wellposedness results for nonlinear Schroedinger equations
  below L^2   We prove some local (in time) wellposedness results for nonlinear
Schroedinger equations with rough data, that is, the initial value belongs to
some Sobolev space of negative index. The proof uses the Fourier restriction
norm method.

3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph