Initial-Boundary Value Problem and Integrodifferential Equations of Electrodynamics for an Inhomogeneous Conductive Body

摘要

The initial–boundary value problem of determining the electromagnetic field in an inhomo-geneous conducting sample and the surrounding external medium is solved under certain assumptionson the sample, the external medium, and the external current density. The existence of a classical solu-tion to this problem is proved. The electromagnetic field under small variations in the sample's electricconductivity is computed by applying perturbation theory.