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Uniqueness and Existence Theorems for the Problems of Electromagnetic-Wave Scattering by Three-Dimensional Anisotropic Bodies in Differential and Integral Formulations

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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.

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Funding

This work was supported by the Russian Science Foundation (project no. 20-11-20087).

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Correspondence to A. B. Samokhin.

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Translated by E. Chernokozhin

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Samokhin, A.B., Smirnov, Y.G. Uniqueness and Existence Theorems for the Problems of Electromagnetic-Wave Scattering by Three-Dimensional Anisotropic Bodies in Differential and Integral Formulations. Comput. Math. and Math. Phys. 61, 80–89 (2021). https://doi.org/10.1134/S0965542521010073

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  • DOI: https://doi.org/10.1134/S0965542521010073

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