  In this paper we consider an abstract Cauchy problem for a Maxwell system
modelling electromagnetic fields in the presence of an interface between
optical media. The electric polarization is in general time-delayed and
nonlinear, turning the macroscopic Maxwell equations into a system of nonlinear
integro-differential equations. Within the framework of evolutionary equations,
we obtain well-posedness in function spaces exponentially weighted in time and
of different spatial regularity and formulate various conditions on the
material functions, leading to exponential stability on a bounded domain.
