Wave diffraction by wedges having arbitrary aperture angle

DOI10.1016/j.jmaa.2014.07.080zbMath1300.35005OpenAlexW2011743468MaRDI QIDQ743197

Luis Filipe Pinheiro de Castro, David Kapanadze

Publication date: 23 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.07.080

zbMATH Keywords

boundary value problemHelmholtz equationFredholm theorypotential operatorpseudo-differential operatorwedge diffraction problem

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Mellin convolution operators in Bessel potential spaces ⋮ Mixed boundary value problems for the Helmholtz equation in a model 2D angular domain ⋮ On uniqueness and stability of Sobolev's solution in scattering by wedges ⋮ Mixed impedance boundary value problems for the Laplace-Beltrami equation ⋮ Time-dependent approach to uniqueness of the Sommerfeld solution to a problem of diffraction by a half-plane ⋮ Diffraction problems for two-dimensional lattice waves in a quadrant ⋮ The spectral functions method for acoustic wave diffraction by a stress-free wedge: theory and validation ⋮ Mixed type boundary value problems for Laplace-Beltrami equation on a surface with the Lipschitz boundary

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