This is the abstract of the paper "THE SEMISTATIC LIMIT FOR MAXWELL'S EQUATIONS IN AN EXTERIOR DOMAIN" by Frank Jochmann. For the whole paper send the command get evolve-l 98-00025 to: "listserv@rz.uni-karlsruhe.de". Instead you may get the paper at "http://ma1serv.mathematik.uni-karlsruhe.de/evolve-l/index.html" too. Abstract: This paper provides a $L^p$-theory for the Maxwell-system in the semistatic limit case in an exterior domain. 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.