%0 Journal Article
%T The Finite Horizon Optimal Multi-Modes Switching Problem: the Viscosity Solution Approach
%A Brahim El Asri
%A Said Hamadene
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0805.1306v1