chapter  17
12 Pages

On the Semistatic Limit for Maxwell’s Equations

ByF. Jochmann

In this paper a Lp -theory for the Maxwell system in the semistatic limit case in an exterior domain is described. The problem under consideration is of mixed type, since the possibly nonlinear electric conductivity vanishes on a certain subset of the domain. The solution is obtained from a singular perturbation of the full Maxwell system including the displacement current.