On the stability of inverse scattering problems

DOI10.1016/0165-2125(84)90004-0zbMath0554.73026OpenAlexW2005708559MaRDI QIDQ760234

John A. Fawcett

Publication date: 1984

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(84)90004-0

zbMATH Keywords

acousticsseismologystability resultsanalytical and numerical examplestime-dependent inverse scattering

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse problems for waves in solid mechanics (74J25)

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Cites Work

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• Inverse boundary value problems and a theorem of Gel'fand and Levitan
• The Gelfand-Levitan, the Marchenko, and the Gopinath-Sondhi integral equations of inverse scattering theory, regarded in the context of inverse impulse-response problems
• The inversion of acoustical impedance profile by methods of characteristics
• On the determination of a differential equation from its spectral function
• The One-Dimensional Inverse Problem of Reflection Seismology
• Numerical Stability in an Inverse Scattering Problem
• Stable Solution of the Inverse Reflection Problem for a Smoothly Stratified Elastic Medium