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Sommerfeld Diffraction Problems with Oblique Derivatives

✍ Scribed by A. Moura Santos; F.-O. Speck

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
337 KB
Volume
20
Category
Article
ISSN
0170-4214

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✦ Synopsis

Dedicated to Rolf Leis on the occasion of his 65th birthday

A class of diffraction problems for the two-dimensional Helmholtz equation is studied where the boundary conditions on a canonical screen contain oblique derivatives. The problem in weak formulation is reduced to a system of pseudodifferential equations on a half-line. The Fredholm property is characterized in dependence of the parameters, index formulas are given, and, if necessary, a normalization of the problem is implemented.

πŸ“œ SIMILAR VOLUMES

Factorization of a class of matrices gen
Factorization of a class of matrices generated by Sommerfeld diffraction problems with oblique derivatives
✍ A. B. Lebre; A. Moura Santos; F.-O. Speck πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 142 KB

An explicit factorization of the Fourier symbol matrix functions generated by Sommerfeld diffraction problems with oblique derivatives is obtained. For this purpose a new prefactorization procedure is developed which makes use of factorization through weighted ΒΈ spaces. These results yield a represe