On the low wave number asymtotics for the two-dimensional exterior dirichlet problem for the reduced wave equation

DOI10.1002/mma.1670090126zbMath0657.35037OpenAlexW2059259395MaRDI QIDQ3805131

Publication date: 1987

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670090126

zbMATH Keywords

Dirichlet problem smooth boundary Helmholtz equation integral equation method exterior problem low wave number asymptotics multiply connected complement

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fredholm integral equations (45B05)

Related Items (8)

Exact low frequency analysis for a class of exterior boundary value problems for the reduced wave equation in two dimensions ⋮ A conformal mapping method in inverse obstacle scattering ⋮ Cloaking via change of variables for the Helmholtz equation in the whole space ⋮ The low frequency limit of the exterior Dirichlet problem for the reduced wave equation ⋮ Exterior dirichlet problem for the reduced wave equation: asymptotic analysis of low frequencies ⋮ On the low frequency asymptotics for the 2-D electromagnetic transmission problem ⋮ Mosco convergence of Sobolev spaces and Sobolev inequalities for nonsmooth domains ⋮ Resonance Phenomena in Local Perturbations of Parallel-plane Waveguides

Cites Work

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