Partial Regularity of Weak Solutions to Maxwell's Equations in a Quasi-static Electromagnetic Field
Hong, Min-Chun ; Tonegawa, Yoshihiro ; Yassin, Alzubaidi
Methods Appl. Anal., Tome 15 (2008) no. 1, p. 205-222 / Harvested from Project Euclid
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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.
Publié le : 2008-06-15
Classification:  Partial regularity,  elliptic systems,  parabolic systems,  35J45,  35J60,  58E20 
@article{1251827665,
     author = {Hong, Min-Chun and Tonegawa, Yoshihiro and Yassin, Alzubaidi},
     title = {Partial Regularity of Weak Solutions to Maxwell's Equations in a Quasi-static Electromagnetic Field},
     journal = {Methods Appl. Anal.},
     volume = {15},
     number = {1},
     year = {2008},
     pages = { 205-222},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1251827665}
}

Hong, Min-Chun; Tonegawa, Yoshihiro; Yassin, Alzubaidi. Partial Regularity of Weak Solutions to Maxwell's Equations in a Quasi-static Electromagnetic Field. Methods Appl. Anal., Tome 15 (2008) no. 1, pp.  205-222. http://gdmltest.u-ga.fr/item/1251827665/