Remarks on the inverse scattering problem for low frequency acoustic waves

DOI10.1016/0022-0396(80)90105-9zbMath0451.35072OpenAlexW2030996438MaRDI QIDQ1147906

David Colton

Publication date: 1980

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(80)90105-9

zbMATH Keywords

wave numberacoustic wavesvelocity potentialinverse scatteringlow frequencyscattering obstacle

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (4)

A method for solving the inverse elastic scattering problem via low- frequency moments ⋮ Inverse scattering for an accoustically soft scatterer in the low-frequency region ⋮ Inverse scattering via low-frequency moments ⋮ The inverse problem of acoustic-wave scattering for thin acoustically rigid bodies

Cites Work

• Iterative methods for solving the exterior Dirichlet problem for the Helmholtz equation with applications to the inverse scattering problem for low frequency acoustic waves
• On Neumann's method for the exterior Neumann problem for the Helmholtz equation
• The exterior Neumann problem for the Helmholtz equation
• The inverse scattering problem for a cylinder
• The direct and inverse scattering problems for an arbitrary cylinder: Dirichlet boundary conditions
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