  We are interested in path-dependent semilinear PDEs, where the derivatives
are of G{\^a}teaux type in specific directions k and b, being the kernel
functions of a Volterra Gaussian process X. Under some conditions on k, b and
the coefficients of the PDE, we prove existence and uniqueness of a decoupled
mild solution, a notion introduced in a previous paper by the authors. We also
show that the solution of the PDE can be represented through BSDEs where the
forward (underlying) process is X.
