Uniqueness Estimates for the General Complex Conductivity Equation and Their Applications to Inverse Problems

DOI10.1137/18M1225112zbMath1441.35261arXiv1810.00576MaRDI QIDQ5215742

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Publication date: 13 February 2020

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

Full work available at URL: https://arxiv.org/abs/1810.00576

zbMATH Keywords

unique continuationCarleman estimatesize estimateCalderón's problemthree-ball inequalities

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Second-order elliptic equations (35J15) Continuation and prolongation of solutions to PDEs (35B60) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (3)

The enclosure method for a generalized anisotropic complex conductivity equation ⋮ Carleman estimate for complex second order elliptic operators with discontinuous Lipschitz coefficients ⋮ Propagation of smallness and size estimate in the second order elliptic equation with discontinuous complex Lipschitz conductivity

Cites Work

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• Non-unicité pour des opérateurs différentiels à caractéristiques complexes simples
• Electrical Impedance Tomography
• Variational principles for complex conductivity, viscoelasticity, and similar problems in media with complex moduli
• Optimal size estimates for the inverse conductivity problem with one measurement

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