Wiener-Hopf-Hankel operators for some wedge diffraction problems with mixed boundary conditions

DOI10.1216/jiea/1181075683zbMath0756.45005OpenAlexW2018427448MaRDI QIDQ1195354

F. S. Teixeira, Frank-Olme Speck, Erhard Meister

Publication date: 26 October 1992

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075683

zbMATH Keywords

Riemann-Hilbert problemsolvabilityHelmholtz equationwedge diffractionWiener-Hopf-Hankel operators

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Integral representations of solutions to PDEs (35C15) Boundary value problems in the complex plane (30E25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (17)

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Cites Work

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• Diffraction by a rectangular wedge: Wiener-Hopf-Hankel formulation
• A contribution to the quarter-plane problem in diffraction theory
• Factorization of matrix functions and singular integral operators
• On a class of Hankel operators: Fredholm properties and invertibility
• Mixed boundary value problems of the type of Sommerfeld's half-plane problem
• A factorisation procedure for two by two matrix functions on the circle with two rationally independent entries
• Diffraction of an E -polarized plane wave by an imperfectly conducting wedge
• Boundary integral equations for mixed Dirichlet, Neumann and transmission problems
• Plane-wave diffraction by a rational wedge
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• Sommerfeld Diffraction Problems with First and Second Kind Boundary Conditions
• Diffraction of a skew plane electromagnetic wave by an absorbing right‐angled wedge
• Diffraction by an imperfectly conducting wedge

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