Viscosity solutions of divergence type PDEs associated to multitime hybrid games

Abstract

Our original results are associated to a multitime hybrid game, with two equips of players, based on a multiple integral functional and an m- ow as constraint. The aim of this paper is three-fold: (i) to define the multitime lower or upper value function; (ii) to build Divergence type PDEs ; (iii) to give viscosity solutions of previous PDEs.