Before revision:  Then, under some regularity assumptions on one of the barriers, similar to the ones in [ 9 ], and when the two barriers are completely separated, we provide a complete wellposedness theory for doubly reflected second-order BSDEs.
After revision:  Then, under some regularity assumptions on one of the barriers, similar to the ones in [ 10 ], and when the two barriers are completely separated, we provide a complete wellposedness theory for doubly reflected second-order BSDEs.