On existence of the solution of a certain integral equation of the first kind in the sense of a distribution

DOI10.3792/pjaa.60.295zbMath0558.45006OpenAlexW1998626796MaRDI QIDQ762716

Yoshio Hayashi

Publication date: 1984

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.60.295

zbMATH Keywords

Dirichlet problemexistenceuniquenessHankel function kernel

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Fredholm integral equations (45B05) Integral equations with miscellaneous special kernels (45H05)

Cites Work

• Continuity of the inverse of a certain integral operator
• The expansion theory of the Dirichlet problem for the Helmholtz equation for an open boundary
• The Dirichlet problem for the two-dimensional Helmholtz equation for an open boundary

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