The explicit solution of elastodynamical diffraction problems by symbol factorization (Q911845)

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scientific article; zbMATH DE number 4143536
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The explicit solution of elastodynamical diffraction problems by symbol factorization
scientific article; zbMATH DE number 4143536

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    The explicit solution of elastodynamical diffraction problems by symbol factorization (English)
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    1989
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    Summary: 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 \(3\times 3\) matrix functions, which occur as Fourier symbols in the corresponding boundary integral equations.
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    linear boundary value problems
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    time-harmonic elastic wave propagation
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    Wiener-Hopf factorization
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