The 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.
Institute for Mathematics and Its Applications>IMA Preprints Series
Kang, Kyungkeun; Kim, Seick; Minut, Aurelia.
On the regularity of solutions to a parabolic system related to Maxwell's equations.
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