The Dirichlet problem for the two-dimensional Helmholtz equation for an open boundary

DOI10.1016/0022-247X(73)90074-7zbMath0274.35020OpenAlexW2009596320MaRDI QIDQ2265104

Yoshio Hayashi

Publication date: 1973

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(73)90074-7

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

The Neumann problem for the 2-D Helmholtz equation in a multiply connected domain with cuts, The skew derivative problem in the exterior of open curves in a plane, On the numerical solution of the direct scattering problem for an open sound-hard arc, On a certain integral equation of Fredholm of the first kind and a related singular integral equation, Resonances for Maxwell's equations in a periodic structure, Layer potentials and boundary value problems for the helmholtz equation in the complement of a thin obstacle, On Neumann's method for the exterior Neumann problem for the Helmholtz equation, The expansion theory of the Dirichlet problem for the Helmholtz equation for an open boundary, Three-dimensional Dirichlet problem for the Helmholtz equation for an open boundary, On existence of the solution of a certain integral equation of the first kind in the sense of a distribution, A Chebyshev expansion of singular integral equations with a logarithmic kernel, An augmented galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems, Continuity of the inverse of a certain integral operator

Cites Work

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