Rawlins' problem for half-plane diffraction: its generalized eigenfunctions with real wave numbers

DOI<989::AID-MMA898>3.0.CO;2-C 10.1002/(SICI)1099-1476(199708)20:12<989::AID-MMA898>3.0.CO;2-CzbMath0893.45005OpenAlexW2014332424MaRDI QIDQ4349683

K. Rottbrand

Publication date: 23 July 1998

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(199708)20:12<989::aid-mma898>3.0.co;2-c

zbMATH Keywords

eigenvaluesWiener-Hopf equationdiffraction problemgeneralized factorizationRawlins problemeigenfunctions with real wave numbers

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Eigenvalue problems for integral equations (45C05)

Related Items (3)

Wave diffraction by a strip with first and second kind boundary conditions: the real wave number case ⋮ The impedance boundary-value problem of diffraction by a strip ⋮ Initial Dirichlet problem for half-plane diffraction: Global formulae for its generalized eigenfunctions, explicit solution by the Cagniard-de Hoop method

Cites Work

• Mixed boundary value problems of the type of Sommerfeld's half-plane problem
• Unnamed Item

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