scientific article; zbMATH DE number 1569413

DOI<1401::AID-MMA172>3.0.CO;2-9 10.1002/1099-1476(20001110)23:16<1401::AID-MMA172>3.0.CO;2-9zbMath0969.35042MaRDI QIDQ4762915

Anatolij E. Merzon, Peter N. Zhevandrov

Publication date: 2000

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

integral identitiesinverse two-dimensional Fourier transformSommerfeld-type representation

Mathematics Subject Classification ID

PDEs with low regular coefficients and/or low regular data (35R05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Solutions to PDEs in closed form (35C05)

Related Items (14)

DN-Scattering of a plane wave by wedges ⋮ \(L^p\)-theory of boundary integral operators for domains with unbounded smooth boundary ⋮ Transmission problems for conical and quasi-conical at infinity domains ⋮ Mixed boundary value problems for the Laplace–Beltrami equation ⋮ Mixed boundary value problems for the Helmholtz equation in a model 2D angular domain ⋮ Neumann boundary value problem for the Beltrami equation in a ring domain ⋮ \(L^2\)-estimates for the Laplace transform along a family of hyperbolas in the right half-plane ⋮ Mixed impedance boundary value problems for the Laplace-Beltrami equation ⋮ Wave diffraction by a 45 degree wedge sector with Dirichlet and Neumann boundary conditions ⋮ Exterior wedge diffraction problems with Dirichlet, Neumann and impedance boundary conditions ⋮ On the weak solution of the Neumann problem for the 2D Helmholtz equation in a convex cone and Hs regularity ⋮ Wave diffraction by wedges having arbitrary aperture angle ⋮ An explicit formula for the nonstationary diffracted wave scattered on a NN-wedge ⋮ Integral equations of diffraction problems with unbounded smooth obstacles

Cites Work

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• A contribution to the quarter-plane problem in diffraction theory
• Stability of trapped surface waves under small perturbations of the density of the upper layer
• Boundary integral equations for mixed Dirichlet, Neumann and transmission problems
• ELLIPTIC BOUNDARY VALUE PROBLEMS ON MANIFOLDS WITH A PIECEWISE SMOOTH BOUNDARY
• High-Frequency Asymptotics of Edge Waves on a Beach of Nonconstant Slope

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