An Inverse Problem for Maxwell's Equations in Bi-isotropic Media

DOI10.1137/S003614100444366XzbMath1100.35121MaRDI QIDQ5470590

Shumin Li

Publication date: 31 May 2006

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

zbMATH Keywords

Maxwell equationsCarleman estimateLipschitz stability estimate

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Electromagnetic theory (general) (78A25)

Related Items (15)

Fast numerical solutions to direct and inverse scattering for bi-anisotropic periodic Maxwell’s equations ⋮ Carleman estimates for second-order hyperbolic systems in anisotropic cases and applications. Part I: Carleman estimates ⋮ Carleman estimates for second-order hyperbolic systems in anisotropic cases and applications. Part II: an inverse source problem ⋮ The factorization method for the Drude-Born-Fedorov model for periodic chiral structures ⋮ Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by partial boundary layer data. Part II: Some inverse problems ⋮ Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations ⋮ The reconstruction of a time-dependent source from a surface measurement for full Maxwell's equations by means of the potential field method ⋮ Inverse Problems for a Compressible Fluid System ⋮ An inverse problem for Maxwell's equations in isotropic and non-stationary media ⋮ An inverse problem for Maxwell's equations in a uniaxially anisotropic medium ⋮ Optimization approach for the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions from limited observations ⋮ Lipschitz stability in determining density and two Lamé coefficients ⋮ Direct and inverse electromagnetic scattering problems for bi-anisotropic media ⋮ An inverse problem and an observability inequality for the Lamé system with stress boundary condition ⋮ Inverse source problem for linearized Navier–Stokes equations with data in arbitrary sub-domain

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