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June 2008 Partial Regularity of Weak Solutions to Maxwell's Equations in a Quasi-static Electromagnetic Field
Min-Chun Hong, Yoshihiro Tonegawa, Alzubaidi Yassin
Methods Appl. Anal. 15(2): 205-222 (June 2008).

Abstract

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

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Min-Chun Hong. Yoshihiro Tonegawa. Alzubaidi Yassin. "Partial Regularity of Weak Solutions to Maxwell's Equations in a Quasi-static Electromagnetic Field." Methods Appl. Anal. 15 (2) 205 - 222, June 2008.

Information

Published: June 2008
First available in Project Euclid: 1 September 2009

zbMATH: 1170.35382
MathSciNet: MR2481680

Subjects:
Primary: 35J45, 35J60, 58E20

Rights: Copyright © 2008 International Press of Boston

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Vol.15 • No. 2 • June 2008
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