This article is cited in 5 papers

Partial Differential Equations

Uniqueness and existence theorems for the problems of electromagnetic-wave scattering by three-dimensional anisotropic bodies in differential and integral formulations

A. B. Samokhin^a, Yu. G. Smirnov<sup>b

a</sup> MIREA — Russian Technological University, Moscow
^b Penza State University

Abstract: Uniqueness theorems for the Maxwell’s equations and existence and uniqueness theorems for the volume singular integral equations in the problems of electromagnetic-wave scattering by bounded three-dimensional inhomogeneous anisotropic bodies, including lossless bodies and media with discontinuous parameters, are proved.

Key words: electromagnetic-wave scattering problems, Maxwell's equations, lossless media, anisotropic media, volume singular integral equations.

UDC: 517.958

Received: 15.03.2020
Revised: 26.07.2020
Accepted: 18.09.2020

DOI: 10.31857/S0044466921010075

 English version: Computational Mathematics and Mathematical Physics, 2021, 61:1, 80–89

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