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The conductive boundary condition for Maxwell’s equations. (English) Zbl 0786.35127
Author’s summary: “First, the conductive boundary value problem is derived for the quasi-stationary Maxwell equations that arise in the study of magnetotellurics. Then the boundary integral equation method is used to prove the existence and uniqueness of solutions of the problem. The final section is devoted to a study of the set of far field patterns for scattering problems with plane wave indicence”.

MSC:
35Q60PDEs in connection with optics and electromagnetic theory
31B10Integral representations of harmonic functions (higher-dimensional)
35P25Scattering theory (PDE)
45B05Fredholm integral equations
78A45Diffraction, scattering (optics)
86A20Potentials, prospecting (geophysics)