Image normalization of Wiener-Hopf operators and boundary-transmission value problems for a junction of two half-planes

DOI10.1016/j.jmaa.2010.10.054zbMath1217.47062arXiv1006.4724OpenAlexW2078111491MaRDI QIDQ626172

A. Moura Santos, N. J. Bernardino

Publication date: 22 February 2011

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

Full work available at URL: https://arxiv.org/abs/1006.4724

zbMATH Keywords

plane waveHelmholtz equationWiener-Hopf operatorsboundary-transmission value problemsdiffraction by a junction of two half-planesimage normalisation methodnot normally solvable operatorsSommerfeld problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Diffraction, scattering (78A45) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) General theory of partial differential operators (47F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Mixed boundary value problems for the Helmholtz equation in a model 2D angular domain ⋮ Mixed boundary value problems of diffraction by a half‐plane with an obstacle perpendicular to the boundary

Cites Work

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• Minimal normalization of Wiener-Hopf operators in spaces of Bessel potentials
• Mixed boundary value problems of the type of Sommerfeld's half-plane problem
• An operator approach for an oblique derivative boundary-transmission problem
• Acoustic diffraction from the junction of two flat plates
• Sommerfeld Diffraction Problems with Oblique Derivatives
• Sommerfeld Half-plane Problems with Higher Order Boundary Conditions

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