Regularity and stability for the scattering map of a linearized inverse medium problem

DOI10.1006/jmaa.2000.6856zbMath0960.35108OpenAlexW2064097838MaRDI QIDQ1576981

Fuming Ma, Gang Bao, Yu Chen

Publication date: 10 May 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6856

zbMATH Keywords

stabilityFréchet derivativescattered fieldinverse scattering problemincident fieldscatterer to near-field mapscattering problem for the 2-D Helmholtz equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

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Cites Work

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• A linearized inverse boundary value problem for Maxwell's equations
• On the Riccati equations for the scattering matrices in two dimensions
• Estimates on resolution and stabilization for the linearized inverse conductivity problem
• Inverse scattering via Heisenberg's uncertainty principle
• Inverse scattering via skin effect
• Equivalent Norms for Sobolev Spaces
• Inverse acoustic and electromagnetic scattering theory
• Inverse problems for partial differential equations

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