Explicit solution of a Dirichlet-Neumann wedge diffraction problem with a strip

DOI10.1216/jiea/1181074982zbMath1069.47073OpenAlexW2013854771MaRDI QIDQ1885579

F. S. Teixeira, Frank-Olme Speck, Luis Filipe Pinheiro de Castro

Publication date: 11 November 2004

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

Full work available at URL: https://doi.org/10.1216/jiea/1181074982

zbMATH Keywords

well-posednessboundary value problemWiener-Hopf operatorsgeneralized boundary conditionsrectangular wedge diffraction problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications of operator theory to differential and integral equations (47N20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Solutions to PDEs in closed form (35C05)

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Invertibility of matrix Wiener--Hopf plus Hankel operators with APW Fourier symbols ⋮ A Duduchava--Saginashvili's type theory for Wiener--Hopf plus Hankel operators ⋮ Mixed boundary value problems for the Helmholtz equation in a model 2D angular domain ⋮ Dirichlet-Neumann-impedance boundary value problems arising in rectangular wedge diffraction problems ⋮ Mixed impedance boundary value problems for the Laplace-Beltrami equation ⋮ Wave diffraction by a 45 degree wedge sector with Dirichlet and Neumann boundary conditions ⋮ Mixed boundary value problems of diffraction by a half‐plane with an obstacle perpendicular to the boundary ⋮ Exterior wedge diffraction problems with Dirichlet, Neumann and impedance boundary conditions ⋮ Invertibility of matrix Wiener--Hopf plus Hankel operators with symbols producing a positive numerical range ⋮ Wave diffraction by wedges having arbitrary aperture angle ⋮ Numerical factorization of a matrix-function with exponential factors in an anti-plane problem for a crack with process zone

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