The diffraction problem for a half plane with different face impedances revisited

DOI10.1016/0022-247X(89)90080-2zbMath0693.47024MaRDI QIDQ908498

F. S. Teixeira, Amarino B. Lebre, António F. dos Santos

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacessingular integral operatorsWiener-Hopf equationsdissipative mediumWiener-Hopf formulationboundary value problem for Maxwell's equationinterface problem for Helmholtz's equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Diffraction, scattering (78A45) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

• The Sommerfeld problem revisited: Solution spaces and the edge conditions
• Factorization of matrix functions and singular integral operators
• On the diffraction problem of a half plane with different face impedances
• Diffraction by a half-plane with different face impedances – a re-examination
• The Wiener–Hopf–Hilbert method for diffraction problems
• Diffraction problems with impedance conditions
• Sommerfeld Diffraction Problems with Third Kind Boundary Conditions II
• A note on the factorization of matrices occurring in Wiener-Hopf problems
• Diffraction by a semi-infinite metallic sheet