Dirichlet-Neumann-impedance boundary value problems arising in rectangular wedge diffraction problems

DOI10.1090/S0002-9939-08-09288-5zbMath1185.35055MaRDI QIDQ3506747

David Kapanadze, Luis Filipe Pinheiro de Castro

Publication date: 17 June 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

regularityFredholm integral equationsHelmholtz equationpseudo-differential operatorsDirichlet-Neumann impedance problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Solutions to PDEs in closed form (35C05) Pseudodifferential operators (47G30)

Related Items (9)

DN-Scattering of a plane wave by wedges ⋮ Mixed boundary value problems for the Helmholtz equation in a model 2D angular domain ⋮ Mixed impedance boundary value problems for the Laplace-Beltrami equation ⋮ New convolutions for quadratic-phase Fourier integral operators and their applications ⋮ Wave diffraction by a 45 degree wedge sector with Dirichlet and Neumann boundary conditions ⋮ Diffraction problems for two-dimensional lattice waves in a quadrant ⋮ 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 ⋮ Wave diffraction by wedges having arbitrary aperture angle

Cites Work

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• Some interior and exterior boundary-value problems for the Helmholtz equation in a quadrant
• Two canonical wedge problems for the Helmholtz equation
• On Sommerfeld representation and uniqueness in scattering by wedges
• On wave diffraction by a half‐plane with different face impedances

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