Mixed boundary value problems of diffraction by a half‐plane with an obstacle perpendicular to the boundary
DOI10.1002/mma.2900zbMath1294.35009OpenAlexW2132338089MaRDI QIDQ5170221
David Kapanadze, Luis Filipe Pinheiro de Castro
Publication date: 22 July 2014
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10773/16639
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)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Image normalization of Wiener-Hopf operators and boundary-transmission value problems for a junction of two half-planes
- Wave diffraction by a half-plane with an obstacle perpendicular to the boundary
- The mixed harmonic problem in an exterior cracked domain with Dirichlet condition on cracks
- A contribution to the quarter-plane problem in diffraction theory
- Boundary integral equations
- Exterior wedge diffraction problems with Dirichlet, Neumann and impedance boundary conditions
- Invertibility of matrix Wiener--Hopf plus Hankel operators with symbols producing a positive numerical range
- Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
- Toeplitz operators with semialmost periodic symbols
- Regularity properties and generalized inverses of delta-related operators
- The Neumann problem for the 2-D Helmholtz equation in a multiply connected domain with cuts
- Inverse acoustic and electromagnetic scattering theory.
- The Neumann problem for the 2-D Helmholtz equation in a domain, bounded by closed and open curves
- The 2-dimensional Dirichlet problem in an external domain with cuts
- Mathematical theory of diffraction. Translated from the 1896 German edition and with an introduction by Raymond J. Nagem, Mario Zampolli and Guido Sandri. Appendix I by Joseph Priestley.
- Relations between convolution type operators on intervals and on the half-line
- Explicit solution of a Dirichlet-Neumann wedge diffraction problem with a strip
- The impedance boundary-value problem of diffraction by a strip
- FACTORIZATION OF ALMOST PERIODIC MATRIX-VALUED FUNCTIONS AND THE NOETHER THEORY FOR CERTAIN CLASSES OF EQUATIONS OF CONVOLUTION TYPE
- Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel Operators with Semi-Almost Periodic Symbols
- On the weak solution of the Neumann problem for the 2D Helmholtz equation in a convex cone and Hs regularity
- Sommerfeld Diffraction Problems with Oblique Derivatives
- Dirichlet-Neumann-impedance boundary value problems arising in rectangular wedge diffraction problems
- Wave diffraction by a strip with first and second kind boundary conditions: the real wave number case
- The Helmholtz equation in the exterior of slits in a plane with different impedance boundary conditions on opposite sides of the slits
- Some interior and exterior boundary-value problems for the Helmholtz equation in a quadrant
- The Dirichlet Problem for the 2‐D Helmholtz Equation in a Multiply Connected Domain with Cuts
- On Sommerfeld representation and uniqueness in scattering by wedges
- Elastodynamical Scattering by N Parallel Half-Planes in IR3
- On wave diffraction by a half‐plane with different face impedances
- On the mixed problem for harmonic functions in a 2-D exterior cracked domain with Neumann condition on cracks
- The Neumann problem in a 2-D exterior domain with cuts and singularities at the tips
This page was built for publication: Mixed boundary value problems of diffraction by a half‐plane with an obstacle perpendicular to the boundary
