Kang, KyungkeunKim, SeickMinut, Aurelia2007-08-162007-08-162002-06https://hdl.handle.net/11299/3784The goal of this paper is to establish H\"older estimates for the solutions of a certain parabolic system related to Maxwell's equations. Such an estimate is employed to get the local H\"older continuity of the magnetic field arising from Maxwell's equations in a quasi-stationary electromagnetic field, provided the resistivity of the material is continuous in time.