In this paper, we establish a local representation theorem for generators of reflected backward stochastic differential equations (RBSDEs), whose generators are continuous with linear growth. It generalizes some known representation theorems for generators of backward stochastic differential equations (BSDEs). As some applications, a general converse comparison theorem for RBSDEs is obtained and some properties of RBSDEs are discussed.
The project was supported by the National Natural Science Foundation of China (Grant No.\;11571024), the Natural Science Foundation of Beijing (Grant No. 1132008) and a program of Hebei Province (Grant No. QN2017116).