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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

Dokl. RAN. Math. Inf. Proc. Upr., 2021 Volume 496, Pages 59–63 (Mi danma155)

This article is cited in 3 papers

MATHEMATICS

Uniqueness and existence theorems for solving problems of scattering electromagnetic waves by anisotropic bodies

A. B. Samokhina, Yu. G. Smirnovb

a MIREA — Russian Technological University, Moscow, Russian Federation
b Penza State University, Russian Federation

Abstract: Theorems on the uniqueness and existence of solutions to problems of scattering electromagnetic waves by bounded three-dimensional inhomogeneous anisotropic bodies, including lossless ones with discontinuities in the parameters of the medium, are proved.

Keywords: problems of scattering electromagnetic waves, Maxwell’s equations, media without losses, anisotropic media, volume singular integral equations.

UDC: 517.958

Presented: E. E. Tyrtyshnikov
Received: 09.09.2020
Revised: 09.09.2020
Accepted: 18.01.2021

DOI: 10.31857/S2686954321010148


 English version:
Doklady Mathematics, 2021, 103:1, 50–53

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© Steklov Math. Inst. of RAS, 2026