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Zeitschrift für Analysis und ihre Anwendungen


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Volume 8, Issue 4, 1989, pp. 307–328
DOI: 10.4171/ZAA/356

Published online: 1989-08-31

The Explicit Solution of Elastodynamical Diffraction Problems by Symbol Factorization

E. Meister[1] and Frank-Olme Speck[2]

(1) Technische Hochschule Darmstadt, Germany
(2) Instituto Superior Técnico, Lisboa, Portugal

A class of linear boundary value problems is considered due to time-harmonic elastic wave propagation in the exterior domain of a half-plane in $\mathbb R^3$. The explicit solution is obtained from a Wiener-Hopf factorization of specific types of non-rational 3 x 3 matrix functions, which occur as Fourier symbols in the corresponding boundary integral equations.

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Meister E., Speck Frank-Olme: The Explicit Solution of Elastodynamical Diffraction Problems by Symbol Factorization. Z. Anal. Anwend. 8 (1989), 307-328. doi: 10.4171/ZAA/356