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Mixed boundary value problems of the type of Sommerfeld's half-plane problem*

Published online by Cambridge University Press:  14 November 2011

F.-O. Speck
F.-O. Speck
Affiliation:
Fachbereich Mathematik, Technische Hochschule Darmstadt, Schlossgartenstr. 7 D-6100 Darmstadt, B.R.D.
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Synopsis

Various physical problems in diffraction theory lead us to study modifications of the Sommerfeld half-plane problem governed by two proper elliptic partial differential equations in complementary ℝ3 half-spaces Ω± and we allow different boundary or transmission conditions on two half-planes, which together form the common boundary of Ω±.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 104 , Issue 3-4 , 1986 , pp. 261 - 277
Copyright
Copyright © Royal Society of Edinburgh 1986

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