Uniqueness of the solution to inverse obstacle scattering with non-over-determined data

DOI10.1016/J.AML.2016.02.006zbMath1381.35246arXiv1604.01601OpenAlexW2279384738MaRDI QIDQ274242

Alexander G. Ramm

Publication date: 22 April 2016

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

Full work available at URL: https://arxiv.org/abs/1604.01601

zbMATH Keywords

uniqueness theoremscattering theorynon-over-determined scattering dataobstacle scattering

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Inverse problem of potential theory

Cites Work

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• Scattering amplitude as a function of the obstacle
• New method for proving uniqueness theorems for obstacle inverse scattering problems
• Uniqueness of the solution to inverse scattering problem with scattering data at a fixed direction of the incident wave
• Uniqueness of the solution to inverse scattering problem with backscattering data
• Uniqueness theorem for an inverse scattering problem with non-overdetermined data
• On some properties of solutions of Helmholtz equation

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