On the equivalence of the electromagnetic problem of diffraction by an inhomogeneous bounded dielectric body to a volume singular integro-differential equation

DOI10.1134/S0965542516080145zbMath1364.35353WikidataQ115247857 ScholiaQ115247857MaRDI QIDQ519704

Yury G. Smirnov

Publication date: 5 April 2017

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

zbMATH Keywords

smoothness of solutionelectromagnetic diffraction problemtheorem of equivalencevolume singular integral equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Waves and radiation in optics and electromagnetic theory (78A40) Integro-partial differential equations (35R09)

Related Items (6)

Investigation of electromagnetic wave diffraction from an inhomogeneous partially shielded solid ⋮ Uniqueness and existence theorems for the problems of electromagnetic-wave scattering by three-dimensional anisotropic bodies in differential and integral formulations ⋮ On the unique existence of the classical solution to the problem of electromagnetic wave diffraction by an inhomogeneous lossless dielectric body ⋮ NONLOCAL PROBLEM FOR A SECOND ORDER FREDHOLM INTEGRO-DIFFERENTIAL EQUATION WITH DEGENERATE KERNEL AND REAL PARAMETERS ⋮ On inverse boundary value problem for a Fredholm integro-differential equation with degenerate kernel and spectral parameter ⋮ On the solvability of a boundary value problem for the ordinary Fredholm integrodifferential equation with a degenerate kernel

Cites Work

• Integrodifferential equations of the vector problem of electromagnetic wave diffraction by a system of nonintersecting screens and inhomogeneous bodies
• Pseudodifferential operator method in a problem on the diffraction of an electromagnetic wave on a dielectric body
• Volume singular integral equations for problems of scattering on three-dimensional dielectric structures
• A coercive bilinear form for Maxwell's equations
• Linear and quasilinear elliptic equations
• A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains
• L₂-Theory of the Maxwell operator in arbitrary domains
• Strong ellipticity of the hybrid formulation of the electromagnetic diffraction problem
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