Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A theoretical investigation of time-dependent Kohn-Sham equations   In this work, the existence, uniqueness and regularity of solutions to the
time-dependent Kohn-Sham equations are investigated. The Kohn-Sham equations
are a system of nonlinear coupled Schr\"odinger equations that describe
multi-particle quantum systems in the framework of the time dependent density
functional theory. In view of applications with control problems, the presence
of a control function and of an inhomogeneity are also taken into account.

1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
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
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess