Sommerfeld Diffraction Problems with First and Second Kind Boundary Conditions

DOI10.1137/0520026zbMath0682.47013OpenAlexW2046734805MaRDI QIDQ4731698

Frank-Olme Speck

Publication date: 1989

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0520026

zbMATH Keywords

Sobolev spaceHelmholtz equationtransmission conditionsinterface problemsasymptotics near the origincoupled system of Wiener-Hopf equationsfactorization of the Fourier symbol matrix of the one-medium problem

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

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