PARTIAL REGULARITY OF WEAK SOLUTIONS TO MAXWELL'S EQUATIONS IN A QUASI-STATIC ELECTROMAGNETIC FIELD

被引：0
|
作者：
Hong, Min-Chun [1 ]
Tonegawa, Yoshihiro [2 ]
Yassin, Alzubaidi [1 ]
机构：
[1] Univ Queensland, Dept Math, Brisbane, Qld 4072, Australia
[2] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan
来源：
METHODS AND APPLICATIONS OF ANALYSIS | 2008年 / 15卷 / 02期
关键词：
Partial regularity; elliptic systems; parabolic systems;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 Holder 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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页码：205 / 221
页数：17
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