Some properties of the Cauchy-type integral for the time harmonic Maxwell equations
type: Item
instance of: scholarly article
title: Some properties of the Cauchy-type integral for the time harmonic Maxwell equations
zbMATH Open document ID: 1020.30052
DOI: 10.1007/BF01197863
author: Baruch Schneider
author: M. Shapiro
published in: Integral Equations and Operator Theory
publication date: 2003-10-06T00:00:00Z
review text: For the time-harmonic Maxwell equations an analogue of the Cauchy-type integral is studied together with bounday value questions (Sokhotski-Plemelj). This is firstly presented in the real setting, then the necessary quaternionic analysis is done. The function theory of the quaternionic Maxwell operator is then used to prove the theorems stated in the first section.
reviewed by: Klaus Habetha
Mathematics Subject Classification ID: 30G35
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1890585
zbMATH Keywords: Maxwell equations
zbMATH Keywords: Cauchy-type integral
zbMATH Keywords: quaternionic analysis
zbMATH Keywords: boundary values
zbMATH Keywords: Sokhotski-Plemelj theorem
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01197863
OpenAlex ID: W2019012061
description: scientific article; zbMATH DE number 1890585