  This paper considers the problem of uniqueness of the solutions to a class of
Markovian backward stochastic differential equations (BSDEs) which are also
connected to certain nonlinear partial differential equation (PDE) through a
probabilistic representation. Assuming that there is a solution to the BSDE or
to the corresponding PDE, we use the probabilistic interpretation to show the
uniqueness of the solutions, and provide an example of a stochastic control
application.
