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On the boundary operator in electromagnetic scattering

Published online by Cambridge University Press:  14 November 2011

Rainer Kress
Rainer Kress
Affiliation:
Institut für Numerische und Angewandte Mathematik, Lotzestr. 16–18, D-3400 Göttingen, Germany
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Synopsis

For radiating solutions to the time-harmonic Maxwell equations, it is shown that the boundary operator mapping the tangential components of the electric field into the tangential components of the magnetic field is a bounded bijective operator from the space of Holder continuous tangential fields with Hölder continuous surface divergence onto itself.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 103 , Issue 1-2 , 1986 , pp. 91 - 98
Copyright
Copyright © Royal Society of Edinburgh 1986

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References

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