The statement and solubility of boundary-value problems

A. L. Delitsyn

Izvestiya. Mathematics , Tome 71 (2007) no. 3, pp. 495-544.

Résumé

The paper deals with two problems of waveguide theory: the problem of radiation of electromagnetic waves in a regular waveguide with a filling variable in the cross-sections, and the problem of diffraction of an electromagnetic wave on a scatterer in a hollow waveguide. We consider radiation conditions and the solubility of the boundary-value problem for Maxwell's equations in a cylinder. We study several spectral problems connected with radiation conditions.

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