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On a Transmission Boundary-Value Problem for the Time-Harmonic Maxwell Equations without Displacement Currents

  • We consider a transmission boundary-value problem for the time-harmonic Maxwell equations neglecting displacement currents. The usual transmission conditions, which require the continuity of the tangential components of the electric and magnetic fields across boundaries are slightly modified. For this new problem we show that the uniqueness of the solution depends on the topological properties of the domains under consideration. Finally we obtain existence results by using a boundary integral equation approach.

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Metadaten
Author:Martin Reißel
URN (permanent link):urn:nbn:de:hbz:386-kluedo-6902
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (84)
Document Type:Preprint
Language of publication:English
Year of Completion:1992
Year of Publication:1992
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/10/17
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011