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Solvability of the Integro-Differential Equation in the Problem of Wave Diffraction on a Junction of Rectangular Waveguides

Solvability of the Integro-Differential Equation in the Problem of Wave Diffraction on a Junction... We study the problem of electromagnetic wave diffraction on a junction of two rectangularwaveguides. The boundary value problem for the system of Maxwell equations is reduced to avector pseudodifferential equation in special Sobolev spaces. Sufficient conditions are obtained forthe existence of a unique solution of the boundary value problem and the integro-differentialequation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Solvability of the Integro-Differential Equation in the Problem of Wave Diffraction on a Junction of Rectangular Waveguides

Differential Equations , Volume 56 (8) – Aug 4, 2020

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References (9)

Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2020
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266120080078
Publisher site
See Article on Publisher Site

Abstract

We study the problem of electromagnetic wave diffraction on a junction of two rectangularwaveguides. The boundary value problem for the system of Maxwell equations is reduced to avector pseudodifferential equation in special Sobolev spaces. Sufficient conditions are obtained forthe existence of a unique solution of the boundary value problem and the integro-differentialequation.

Journal

Differential EquationsSpringer Journals

Published: Aug 4, 2020

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