Stability of the determination of the surface impedance of an obstacle from the scattering amplitude

DOI10.1002/MMA.2762zbMath1278.35265arXiv1201.2552OpenAlexW2030421144MaRDI QIDQ2868874

Mourad Bellassoued, Aymen Jbalia, Mourad Choulli

Publication date: 19 December 2013

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

Full work available at URL: https://arxiv.org/abs/1201.2552

zbMATH Keywords

scattering amplitudeelliptic Carleman inequalitystability estimate of logarithmic typesurface impedance of an obstacle

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30)

Related Items (8)

The problem of detecting corrosion by an electric measurement revisited ⋮ Stability estimate for an inverse problem of a hyperbolic heat equation from boundary measurement ⋮ Quantification of the unique continuation property for the nonstationary Stokes problem ⋮ On the identification of the heat conductivity distribution from partial dynamic boundary measurements ⋮ Uniqueness for time-dependent inverse problems with single dynamical data ⋮ Logarithmic stability of the refractive index for the acoustic equation from boundary measurements ⋮ On a logarithmic stability estimate for an inverse heat conduction problem ⋮ New Stability Estimates for the Inverse Medium Problem with Internal Data

Cites Work

• Stability of the recovery of surface impedances in inverse scattering
• Inverse acoustic and electromagnetic scattering theory.
• About stability and regularization of ill-posed elliptic Cauchy problems: the case of Lipschitz domains
• Stable Determination of the Surface Impedance of an Obstacle by Far Field Measurements
• Stability estimates for an inverse elliptic problem
• Stability of recovering the near-field wave from the scattering amplitude

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