Geodesic
Initial-boundary value problem and integrodifferential equations of electrodynamics for an inhomogeneous conductive body
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 2, pp. 288-296 
V. V. Dyakin; S. V. Marvin. Initial-boundary value problem and integrodifferential equations of electrodynamics for an inhomogeneous conductive body. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 2, pp. 288-296. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_2_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The initial-boundary value problem of determining the electromagnetic field in an inhomogeneous conducting sample and the surrounding external medium is solved under certain assumptions on the sample, the external medium, and the external current density. The existence of a classical solution to this problem is proved. The electromagnetic field under small variations in the sample's electric conductivity is computed by applying perturbation theory.

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