On the Continuous Invertibility of Operator of Electric Field Integral Equation for Non-Absorbing Media

The problem of solvability of the electric field integral equation for non-absorbing media is considered. The method of quadratic forms is applied to investigation of the operators of the problem. The paper proves the continuous invertibility of the operator of the electric field integral equation in the case of plane screens and non-absorbing media.

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Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2024-10-01
DOI
https://doi.org/10.1134/s1995080224605848
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
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article

On the Continuous Invertibility of Operator of Electric Field Integral Equation for Non-Absorbing Media

Yu. G. Smirnov
Lobachevskii Journal of Mathematics
Advanced Mathematical Modeling in Engineering
article

On the Continuous Invertibility of Operator of Electric Field Integral Equation for Non-Absorbing Media

Yu. G. Smirnov
article en

Abstract

The problem of solvability of the electric field integral equation for non-absorbing media is considered. The method of quadratic forms is applied to investigation of the operators of the problem. The paper proves the continuous invertibility of the operator of the electric field integral equation in the case of plane screens and non-absorbing media.

Lobachevskii Journal of MathematicsVol. 45(10)
Penza State University (RU)
Affordable and clean energy
Openalex Percentile: Top 69%
Advanced Mathematical Modeling in Engineering
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On the Continuous Invertibility of Operator of Electric Field Integral Equation for Non-Absorbing Media — Yu. G. Smirnov · Lobachevskii Journal of Mathematics (2024) | TGRS Research Map | TGRS