Backward Stochastic Differential Equations in Infinite Dimensions with Continuous Driver and Applications

Applied Mathematics & Optimization - Tập 56 - Trang 265-302 - 2007
Marco Fuhrman1, Ying Hu2
1Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy
2IRMAR, Universite Rennes 1, Campus de Beaulieu, 35042 Rennes Cedex, France

Tóm tắt

In this paper we prove the existence of a solution to backward stochastic differential equations in infinite dimensions with continuous driver under various assumptions. We apply our results to a stochastic game problem with infinitely many players.