Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Finite Horizon Optimal Multi-Modes Switching Problem: the Viscosity
  Solution Approach   In this paper we show existence and uniqueness of a solution for a system of
m variational partial differential inequalities with inter-connected obstacles.
This system is the deterministic version of the Verification Theorem of the
Markovian optimal m-states switching problem. The switching cost functions are
arbitrary. This problem is in relation with the valuation of firms in a
financial market.

26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th