Domain dependent Dirac's delta and derivatives with an application to electromagnetic boundary integral representations

DOI10.1016/j.jmaa.2008.03.016zbMath1153.46027OpenAlexW2058365061MaRDI QIDQ924120

Simopekka Vänskä, Matti Taskinen

Publication date: 28 May 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.03.016

zbMATH Keywords

fundamental solutionMaxwell equationsHelmholtz equationboundary integral representationDirac's delta

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electromagnetic theory (general) (78A25) Distributions, generalized functions, distribution spaces (46F99) General topics in optics and electromagnetic theory (78A99)

Cites Work

• On a structural observation in generalized electromagnetic theory
• On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
• On the low frequency asymptotics in electromagnetic theory.
• Current and Charge Integral Equation Formulations and Picard's Extended Maxwell System
• Diffraction Theory of Electromagnetic Waves
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Domain dependent Dirac's delta and derivatives with an application to electromagnetic boundary integral representations