Properties of a System of Integral Equations of the First Kind in Problems of Diffraction by a Permeable Body

We study a linear system of integral equations of the first kind arising in the problem of wave diffraction by a local permeable body. The equivalence of the system and the original boundary value diffraction problem is established. The existence and uniqueness of the solution of the system and the...

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Bibliographic Details
Published inDifferential equations Vol. 57; no. 9; pp. 1205 - 1213
Main Authors Eremin, Yu. A., Zakharov, E. V.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.09.2021
Springer
Springer Nature B.V
Subjects
Boundary value problems
Difference and Functional Equations
Differential equations
Electric waves
Electromagnetic radiation
Electromagnetic waves
Integral and Integro-Differential Equations
Integral equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators (mathematics)
Ordinary Differential Equations
Partial Differential Equations
Permeability
Wave diffraction
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Summary:We study a linear system of integral equations of the first kind arising in the problem of wave diffraction by a local permeable body. The equivalence of the system and the original boundary value diffraction problem is established. The existence and uniqueness of the solution of the system and the dissipativity of its matrix operator are proved. The questions of the existence of nonradiating currents and their relation to the properties of the matrix operator of the system are considered.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266121090093