Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear Schrodinger equation and frequency saturation   We propose an approach that permits to avoid instability phenomena for the
nonlinear Schrodinger equations. We show that by approximating the solution in
a suitable way, relying on a frequency cut-off, global well-posedness is
obtained in any Sobolev space with nonnegative regularity. The error between
the exact solution and its approximation can be measured according to the
regularity of the exact solution, with different accuracy according to the
cases considered.

25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat