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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
Computational Mathematics and Mathematical Physics ( IF 0.7 ) Pub Date : 2021-02-28 , DOI: 10.1134/s0965542521010073 A. B. Samokhin , Yu. G. Smirnov
中文翻译:
积分形式中三维各向异性体电磁波散射问题的唯一性和存在性定理
更新日期:2021-03-01
Computational Mathematics and Mathematical Physics ( IF 0.7 ) Pub Date : 2021-02-28 , DOI: 10.1134/s0965542521010073 A. B. Samokhin , Yu. G. Smirnov
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.
中文翻译:
积分形式中三维各向异性体电磁波散射问题的唯一性和存在性定理
摘要
证明了在有界三维非均匀各向异性物体(包括无损物体和具有不连续参数的介质)的电磁波散射问题中,麦克斯韦方程组的唯一性定理和体积奇异积分方程的存在性和唯一性定理。