Viscosity solutions of divergence type PDEs associated to multitime hybrid games

2017/02/06 by Constantin Udrişte, Udrişte, Constantin, Ionel Ţevy +3
Computer Science · Mathematics · Medicine · #49L20 #49L25 #91A23 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1702.01559

openalex publication_date 2017/02/06 · openalex created_date 2017/05/12 · openalex updated_date 2026/07/28

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.

Related

• Viscosity solution PDEs in hybrid games with mechanical work payoff
• Multitime hybrid differential games with curvilinear integral functional
• Multitime hybrid differential games with multiple integral functional
• A game theoretical approximation for a parabolic/elliptic system with different operators
• A differential game with constrained dynamics and viscosity solutions of a related HJB equation