Time domain theory of the macroscopic Maxwell equations

In English A time domain description of linear macroscopic electromagnetic phenomena
is considered. We show that it is always possible to model the constitutive
relations with a symmetric, positive definite optical response together with a
convolution integral. An initial-boundary value problem is formulated for the
macroscopic Maxwell equations together with a reflection operator modeling
the exterior region. It is shown that the initial-boundary value problem is
well-posed. Dissipation and finite speed of propagation is also considered.