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