Explicit characterization of the support of non-linear inclusions

DOI10.3934/IPI.2011.5.675zbMath1238.78011OpenAlexW2321957011MaRDI QIDQ645845

Armin Lechleiter

Publication date: 10 November 2011

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/ipi.2011.5.675

zbMATH Keywords

inverse problemsinverse scatteringimpedance tomographynonlinear PDE of elliptic type

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) Inverse problems for integral equations (45Q05)

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Inverse medium scattering for a nonlinear Helmholtz equation ⋮ The domain derivative for semilinear elliptic inverse obstacle problems ⋮ The domain derivative in inverse obstacle scattering with nonlinear impedance boundary condition ⋮ Born approximation for the magnetic Schrödinger operator ⋮ Direct and inverse scattering for nonlinear Schrödinger equation in 2D

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