Sommerfeld Diffraction Problems with Oblique Derivatives

DOI<635::AID-MMA875>3.0.CO;2-O 10.1002/(SICI)1099-1476(19970510)20:7<635::AID-MMA875>3.0.CO;2-OzbMath0888.35028OpenAlexW1966945714MaRDI QIDQ3129913

Frank-Olme Speck, A. Moura Santos

Publication date: 22 April 1997

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(19970510)20:7<635::aid-mma875>3.0.co;2-o

zbMATH Keywords

Maxwell equationsFredholm propertiesscreen problemWiener-Hopf-equations

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (7)

Factorization of a class of matrices generated by Sommerfeld diffraction problems with oblique derivatives ⋮ Image normalization of Wiener-Hopf operators and boundary-transmission value problems for a junction of two half-planes ⋮ Mixed boundary value problems of diffraction by a half‐plane with an obstacle perpendicular to the boundary ⋮ From Sommerfeld Diffraction Problems to Operator Factorisation ⋮ Minimal normalization of Wiener-Hopf operators in spaces of Bessel potentials ⋮ A new and self-contained presentation of the theory of boundary operators for slit diffraction and their logarithmic approximations ⋮ Wiener-Hopf factorization through an intermediate space

Cites Work

• The diffraction problem for a half plane with different face impedances revisited
• Mixed boundary value problems of the type of Sommerfeld's half-plane problem
• Diffraction problems with impedance conditions

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