On the main singularities of the electric component of the electro- magnetic field in regions with screens. (English. Russian original) Zbl 0804.35127

St. Petersbg. Math. J. 5, No. 1, 125-139 (1994); translation from Algebra Anal. 5, No. 1, 143-159 (1993).
The authors consider electromagnetic fields within an ideally conducting resonator with smooth walls, inside of which are a number of screens. They discuss the nature of singularities of the electric field and associate them with the weak solution of a scalar Dirichlet problem. The treatment is highly abstract.


35Q60 PDEs in connection with optics and electromagnetic theory
78A25 Electromagnetic theory (general)
78A50 Antennas, waveguides in optics and electromagnetic theory