Backward doubly stochastic differential equations;
Countable Brownian Motions;
comparison theorem;
continuous and linear growth conditions;
SPDES;
D O I:
10.1214/ECP.v20-3771
中图分类号:
O21 [概率论与数理统计];
C8 [统计学];
学科分类号:
020208 ;
070103 ;
0714 ;
摘要:
In this note, we study one-dimensional reflected backward stochastic differential equations (RBSDEs) driven by Countable Brownian Motions with one continuous barrier and continuous generators. Via a comparison theorem, we provide the existence of minimal and maximal solutions to this kind of equations.