Name: Logarithmic Integral Equations in Electromagnetics (en Inglés)
SKU: 51849417
Price: 170.98 USD
Availability: InStock
Author: Yu V Shestopalov; Yu G Smirnov; E V Chernokozhin
ISBN: 9783110460728

portada Logarithmic Integral Equations in Electromagnetics (en Inglés)

Logarithmic Integral Equations in Electromagnetics (en Inglés)

Formato

Libro Físico

Editorial

De Gruyter

Autor

Yu V Shestopalov; Yu G Smirnov; E V Chernokozhin

Año

2000

Idioma

Inglés

N° páginas

128

Encuadernación

Tapa Dura

ISBN13

9783110460728

N° edición

2018

Categorías

Cálculo diferencial y ecuaciones

Logarithmic Integral Equations in Electromagnetics (en Inglés)

Yu V Shestopalov; Yu G Smirnov; E V Chernokozhin (Autor) · De Gruyter · Tapa Dura

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Reseña del libro "Logarithmic Integral Equations in Electromagnetics (en Inglés)"

This book presents an extensive overview of logarithmic integral operators with kernels depending on one or several complex parameters. Solvability of corresponding boundary value problems and determination of characteristic numbers are analyzed by considering these operators as operator-value functions of appropriate complex (spectral) parameters. Therefore, the method serves as a useful addition to classical approaches. Special attention is given to the analysis of finite-meromorphic operator-valued functions, and explicit formulas for some inverse operators and characteristic numbers are developed, as well as the perturbation technique for the approximate solution of logarithmic integral equations. All essential properties of the generalized single- and double-layer potentials with logarithmic kernels and Green's potentials are considered. Fundamentals of the theory of infinite-matrix summation operators and operator-valued functions are presented, including applications to the solution of logarithmic integral equations. Many boundary value problems for the two-dimensional Helmholtz equation are discussed and explicit formulas for Green's function of canonical domains with separated logarithmic singularities are presented.