S. Plaskacz & M. Quincampoix


Titre: "Value-functions for differential games and control systems with discontinuous terminal cost"


Résumé: This paper deals with Mayer's problem for control systems and differential games with discontinuous terminal cost. The main aim is to provide a new approach allowing to characterize the value-functions in term of solution - in a suitable notion - of some PDE's. For differential games, a uniqueness result for Hamilton-Jacobi-Isaacs' equations allows to prove the existence of the value under Isaac's condition. This paper extend some results already well-known in the continuous case.










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