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- W1996175023 abstract "Linear boundary value problems of elasticity describe the propagation of time- harmonic waves outside of N parallel half-plane shaped cracks in the Euclidian 3-space. Equivalent systems involving 6N Wiener-Hopf equations are obtained for first, second and third kind conditions simultaneously. To find explicit solutions, complex-valued matrix functions with nonrational entries, are to be factorized in a generalized manner. This is done for two double-knife screen crack problems in Part II. Problems for waves in acoustics, hydro-and electrodynamics with an analogous geometry for rigid walls, or perfectly conducting metallic sheets, are contained in the problems formulated above: In Part II, for pure Dirichlet-, or Neumann conditions, the corresponding (reduced) Wiener-Hopf operator is seen to be invertible by an operator Neumann series for all distances (≠ 0) between the N half-planes Σm." @default.
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- W1996175023 date "1996-01-01" @default.
- W1996175023 modified "2023-09-30" @default.
- W1996175023 title "Elastodynamical Scattering by N Parallel Half-Planes in IR3" @default.
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- W1996175023 doi "https://doi.org/10.1002/mana.19961770112" @default.
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