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The mathematical theory of time-harm...

Kirsch, Andreas.

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The mathematical theory of time-harmonic Maxwell's equations = expansion-, integral-, and variational methods /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The mathematical theory of time-harmonic Maxwell's equations/ by Andreas Kirsch, Frank Hettlich.
Reminder of title:	expansion-, integral-, and variational methods /
Author:	Kirsch, Andreas.
other author:	Hettlich, Frank.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xiii, 337 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Introduction -- Expansion into Wave Functions -- Scattering From a Perfect Conductor -- The Variational Approach to the Cavity Problem -- Boundary Integral Equation Methods for Lipschitz Domains -- Appendix -- References -- Index.
Contained By:	Springer eBooks
Subject:	Maxwell equations. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-11086-8
ISBN:	9783319110868 (electronic bk.)

The mathematical theory of time-harmonic Maxwell's equations = expansion-, integral-, and variational methods /
Kirsch, Andreas.

The mathematical theory of time-harmonic Maxwell's equationsexpansion-, integral-, and variational methods /[electronic resource] :by Andreas Kirsch, Frank Hettlich. - Cham :Springer International Publishing :2015. - xiii, 337 p. :ill. (some col.), digital ;24 cm. - Applied mathematical sciences,v.1900066-5452 ;. - Applied mathematical sciences ;v.176..

Introduction -- Expansion into Wave Functions -- Scattering From a Perfect Conductor -- The Variational Approach to the Cavity Problem -- Boundary Integral Equation Methods for Lipschitz Domains -- Appendix -- References -- Index.

This book gives a concise introduction to the basic techniques needed for the theoretical analysis of the Maxwell Equations, and filters in an elegant way the essential parts, e.g., concerning the various function spaces needed to rigorously investigate the boundary integral equations and variational equations. The book arose from lectures taught by the authors over many years and can be helpful in designing graduate courses for mathematically orientated students on electromagnetic wave propagation problems. The students should have some knowledge on vector analysis (curves, surfaces, divergence theorem) and functional analysis (normed spaces, Hilbert spaces, linear and bounded operators, dual space). Written in an accessible manner, topics are first approached with simpler scale Helmholtz Equations before turning to Maxwell Equations. There are examples and exercises throughout the book. It will be useful for graduate students and researchers in applied mathematics and engineers working in the theoretical approach to electromagnetic wave propagation.

ISBN: 9783319110868 (electronic bk.)

Standard No.: 10.1007/978-3-319-11086-8doiSubjects--Topical Terms:

546313
Maxwell equations.

LC Class. No.: QC670

Dewey Class. No.: 515.353

The mathematical theory of time-harmonic Maxwell's equations = expansion-, integral-, and variational methods /
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245 1 4 $a The mathematical theory of time-harmonic Maxwell's equations $h [electronic resource] : $b expansion-, integral-, and variational methods / $c by Andreas Kirsch, Frank Hettlich.
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505 0 $a Introduction -- Expansion into Wave Functions -- Scattering From a Perfect Conductor -- The Variational Approach to the Cavity Problem -- Boundary Integral Equation Methods for Lipschitz Domains -- Appendix -- References -- Index.
520 $a This book gives a concise introduction to the basic techniques needed for the theoretical analysis of the Maxwell Equations, and filters in an elegant way the essential parts, e.g., concerning the various function spaces needed to rigorously investigate the boundary integral equations and variational equations. The book arose from lectures taught by the authors over many years and can be helpful in designing graduate courses for mathematically orientated students on electromagnetic wave propagation problems. The students should have some knowledge on vector analysis (curves, surfaces, divergence theorem) and functional analysis (normed spaces, Hilbert spaces, linear and bounded operators, dual space). Written in an accessible manner, topics are first approached with simpler scale Helmholtz Equations before turning to Maxwell Equations. There are examples and exercises throughout the book. It will be useful for graduate students and researchers in applied mathematics and engineers working in the theoretical approach to electromagnetic wave propagation.
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