  We consider Maxwell equations on a smooth domain with perfectly conducting
boundary conditions in isotropic media in two and three dimensions. In the
charge-free case we recover Strichartz estimates due to Blair--Smith--Sogge for
wave equations on domains up to endpoints. For the proof we suitably extend
Maxwell equations over the boundary, which introduces coefficients on the full
space with codimension-$1$ Lipschitz singularity. This system can be
diagonalized to half-wave equations amenable to the results of
Blair--Smith--Sogge. In two dimensions, we improve the local well-posedness of
the Maxwell system with Kerr nonlinearity via Strichartz estimates.
