Partial regularity of weak solutions to Maxwell's equations in a quasi-static electromagnetic field

Research Report MRR98-033

Partial regularity of weak solutions to Maxwell's equations in a quasi-static electromagnetic field

Min-Chun Hong and Yoshihiro Tonegawa

Abstract: We study Maxwell's equations in a quasi-static electromagnetic field where the electrical conductivity of the material depends on the temperature. By using the reverse Hölder inequality, we establish the partial regularity of weak solutions to the non-linear elliptic system and the non-linear parabolic system.

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