Maxwell's Equations - Hilbert Space Methods for the Theory of Electromagnetism

This monograph covers the mathematical theory and tools behind electromagnetism - governed by Maxwell's equations. After some background in functional analysis is introduced, the spectral theory of the Maxwell operator is discussed. Results available for special limits and decompositions, such as static and time-harmonic are taken into consideration as well as error estimates relevant when solving those equations.

About the author

Dirk Pauly, University of Duisburg-Essen, Germany.

Product details

• Authors: Dirk Pauly
• Publisher: De Gruyter
• Languages: English
• Product format: Hardback
• Release: 15.02.2026
• EAN: 9783110479300
• ISBN: 978-3-11-047930-0
• No. of pages: 330
• Illustrations: 10 b/w ill.
• Series: Radon Series on Computational and Applied Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics; Mathematik, Englisch, Elektromagnetismus, Optical physics, Electricity, electromagnetism & magnetism, Mathematical physics, Differential calculus & equations, Calculus & mathematical analysis, Functional analysis & transforms, Partielle Differentialgleichung, SCI022000 SCIENCE / Physics / Electromagnetism, SCI053000 SCIENCE / Physics / Optics & Light, MAT034000 MATHEMATICS / Mathematical Analysis, SCI040000 SCIENCE / Physics / Mathematical & Computational, MAT037000 MATHEMATICS / Functional Analysis, Hilbert-Raum, Maxwellsche Gleichung, Hilbert space, Maxwell's equation, Partial differential equation