On the unique existence of the classical solution to the problem of electromagnetic wave diffraction by an inhomogeneous lossless dielectric body

DOI10.1134/S0965542517040108zbMath1379.78010MaRDI QIDQ1682913

Peng Zhang

Publication date: 6 December 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

integro-differential equationsboundary value problemMaxwell's equationinhomogeneous lossless scatterervector electromagnetic wave diffraction problem

Mathematics Subject Classification ID

Diffraction, scattering (78A45) PDEs with low regular coefficients and/or low regular data (35R05) Maxwell equations (35Q61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

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

Cites Work

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• Pseudodifferential operator method in a problem on the diffraction of an electromagnetic wave on a dielectric body
• On the equivalence of the electromagnetic problem of diffraction by an inhomogeneous bounded dielectric body to a volume singular integro-differential equation
• Volume and surface integral equations for electromagnetic scattering by a dielectric body
• An integral equation approach and the interior transmission problem for Maxwell's equations
• Linear and quasilinear elliptic equations
• On the volume singular integro-differential equation approach for the electromagnetic diffraction problem
• Inverse acoustic and electromagnetic scattering theory
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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