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New method for proving uniqueness theorems for obstacle inverse scattering problems

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Publication:1324485
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DOI10.1016/0893-9659(93)90071-TzbMath0797.35166OpenAlexW2003182059MaRDI QIDQ1324485

Alexander G. Ramm

Publication date: 30 October 1994

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(93)90071-t


zbMATH Keywords

Dirichlet boundary conditionNeumann boundary conditionHelmholtz equationscattering amplitude


Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)


Related Items (4)

Uniqueness of the solution to inverse obstacle scattering with non-over-determined data ⋮ Uniqueness of the inverse transmission scattering with a conductive boundary condition ⋮ Stability of the inversion of 3D fixed-frequency scattering data ⋮ The uniqueness of the inverse elastic wave scattering problem based on the mixed reciprocity relation




Cites Work

  • Unnamed Item
  • Numerical solution of 3D inverse scattering problems with noisy discrete fixed-energy data
  • Scattering amplitude as a function of the obstacle




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