The Sommerfeld problem revisited: Solution spaces and the edge conditions

DOI10.1016/0022-247X(89)90045-0zbMath0713.35023MaRDI QIDQ749757

F. S. Teixeira, António F. dos Santos

Publication date: 1989

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

zbMATH Keywords

diffractionedgeWiener-Hopf equationSommerfeld problem

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

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• On a class of Wiener-Hopf equations of the first kind in a Sobolev space
• Theory of a class of Wiener-Hopf equations of the first kind: application to the Sommerfeld problem
• Asymptotic Expansion of the Hilbert Transform
• Generalised functions and their convolution
• The solution of a mixed boundary value problem in the theory of diffraction by a semi-infinite plane
• Explicit Error Terms for Asymptotic Expansions of Stieltjes Transforms

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