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Zbl 0786.35127
Angell, T.S.; Kirsch, A.
The conductive boundary condition for Maxwell's equations. (English)
[J] SIAM J. Appl. Math. 52, No.6, 1597-1610 (1992). ISSN 0036-1399; ISSN 1095-712X/e

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''.
[B.D.Sleeman (Dundee)]

MSC 2000:: *35Q60 PDE of electromagnetic theory and optics
31B10 Integral representations of harmonic functions (higher-dimensional)
35P25 Scattering theory (PDE)
45B05 Fredholm integral equations
78A45 Diffraction, scattering (optics)
86A20 Potentials, prospecting

Keywords: conductive boundary value problem; quasi-stationary Maxwell equations; magnetotellurics; boundary integral equation method; existence; uniqueness; far field patterns for scattering problems

Cited in: Zbl 1025.78010

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