An integral operator connected with the Helmholtz equation

DOI10.1016/0022-1236(80)90109-3zbMath0434.45019OpenAlexW1989193428MaRDI QIDQ1139771

Peter Wolfe

Publication date: 1980

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90109-3

zbMATH Keywords

Helmholtz equationSommerfeld radiation condition

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral operators (45P05) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

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A hypersingular boundary integral method for two-dimensional screen and crack problems, An augmented galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems

Cites Work

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• On the growth of univalent functions
• Über das asymptotische Verhalten der Lösungen von \(\Delta u+\lambda u=0\) in unendlichen Gebieten
• An integral operator arising in potential theory
• A uniqueness theorem for the reduced wave equation