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The Mathematical Theory of Time-Harmonic Maxwell's Equations = Expansion-, Integral-, and Variational Methods /

Record Type:	Language materials, printed : 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.
Description:	XIII, 337 p. 3 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Partial differential equations. -
Online resource:	https://doi.org/10.1007/978-3-319-11086-8
ISBN:	9783319110868

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. - 1st ed. 2015. - XIII, 337 p. 3 illus., 1 illus. in color.online resource. - Applied Mathematical Sciences,1900066-5452 ;. - Applied Mathematical Sciences,191.

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

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

1102982
Partial differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.353

The Mathematical Theory of Time-Harmonic Maxwell's Equations = Expansion-, Integral-, and Variational Methods /
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