Diffraction by a half-plane with different face impedances on an obstacle perpendicular to the boundary

zbMath1327.35074MaRDI QIDQ2517039

Luis Filipe Pinheiro de Castro, David Kapanadze

Publication date: 13 August 2015

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1418919755

zbMATH Keywords

Hankel operatorHelmholtz equationWiener-Hopf operatorpotential methodwave diffractionoscillating symbolsimpedance boundary value problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Scattering theory for PDEs (35P25) Integral representations of solutions to PDEs (35C15) Diffraction, scattering (78A45) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) (Semi-) Fredholm operators; index theories (47A53) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Dilations, extensions, compressions of linear operators (47A20) Pseudodifferential operators (47G30)

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