Sommerfeld Diffraction Problems with Third Kind Boundary Conditions II

DOI10.1137/0520042zbMath0677.47021OpenAlexW1964611845MaRDI QIDQ3833093

R. A. Hurd, Erhard Meister, Frank-Olme Speck

Publication date: 1989

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0520042

zbMATH Keywords

zero indexWiener-Hopf systemdeterminant of the symbol matrix is not vanishing and of polynomial growth at infinitynot Fredholm operatorsSobolev space on the half-linetwo-dimensional homogeneous Helmholtz equation under a system of two non- homogeneous transmission conditions of the third kind on an infinite half-line

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

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Elastodynamical scattering by \(N\) parallel half-planes in \(\mathbb{R}^3\). II: Explicit solutions for \(N=2\) by explicit symbol factorization ⋮ The diffraction problem for a half plane with different face impedances revisited ⋮ Diffraction by a Strip and by a Half-plane with Variable Face Impedances ⋮ A fredholm study for convolution operators with piecewise continuous symbols on a union of a finite and a semi-infinite intervel¹ ⋮ Mixed impedance boundary value problems for the Laplace-Beltrami equation ⋮ A relation between convolution type operators on intervals in sobolev spaces ⋮ Generalized factorization for a class of symbols in [pc(Ĺ)^2x2] ⋮ The impedance boundary-value problem of diffraction by a strip ⋮ From Sommerfeld Diffraction Problems to Operator Factorisation ⋮ Wiener-Hopf factorization through an intermediate space

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