Stable Determination of the Surface Impedance of an Obstacle by Far Field Measurements

DOI10.1137/050631513zbMath1189.35379arXivmath/0505286OpenAlexW1998634742MaRDI QIDQ3429675

Eva Sincich

Publication date: 2 April 2007

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505286

zbMATH Keywords

stabilityimpedance boundary conditioninverse scattering problem

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Ill-posed problems for PDEs (35R25) 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)

Related Items (6)

On the reconstruction of surface impedance from the far-field data in inverse scattering problems ⋮ The problem of detecting corrosion by an electric measurement revisited ⋮ Reconstruction of shapes and impedance functions using few far-field measurements ⋮ Smoothness dependent stability in corrosion detection ⋮ Single logarithmic conditional stability in determining unknown boundaries ⋮ Stability of the determination of the surface impedance of an obstacle from the scattering amplitude

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