Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local-in-time well-posedness for Nonlinear Schroedinger equations with
  potentials   We prove the local-in-time well-posedness and the mass and energy
conservation laws for a 3d cubic nonlinear Schroedinger equation with a
real-valued potential.

25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics