Solvability of the integro-differential equation in the problem of wave diffraction on a junction of rectangular waveguides

DOI10.1134/S0012266120080078zbMath1448.35497OpenAlexW3083519622MaRDI QIDQ2195147

A. S. Ilyinskii, Yury G. Smirnov

Publication date: 7 September 2020

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266120080078

zbMATH Keywords

integro-differential equationwave diffractionwaveguidepseudodifferential equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Diffraction, scattering (78A45) Boundary value problems for PDEs with pseudodifferential operators (35S15) Antennas, waveguides in optics and electromagnetic theory (78A50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Maxwell equations (35Q61) Integro-partial differential equations (35R09)

Related Items (1)

The method of hypersingular integral equations in the problem of electromagnetic wave diffraction by a dielectric body with a partial perfectly conducting coating

Cites Work

• On the solvability of vector problems of diffraction in domains connected through an opening in a screen
• The solvability of vector integro-differential equations for the problem of the diffraction of an electromagnetic field by screens of arbitrary shape
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