A Carleman inequality for the stationary anisotropic Maxwell system

DOI10.1016/j.matpur.2006.10.004zbMath1106.35111OpenAlexW2013643974MaRDI QIDQ864190

Masahiro Yamamoto, Matthias M. Eller

Publication date: 13 February 2007

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2006.10.004

zbMATH Keywords

Cauchy problemconditional stabilityMaxwell's equationsanisotropyCarleman estimate

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Ill-posed problems for PDEs (35R25) Electromagnetic theory (general) (78A25)

Related Items (15)

Carleman estimates for second-order hyperbolic systems in anisotropic cases and applications. Part I: Carleman estimates ⋮ Nonunique continuation for the Maxwell system ⋮ On quantitative Runge approximation for the time harmonic Maxwell equations ⋮ A method for approximate computation of waveguide scattering matrices ⋮ A Carleman estimate for the linear magnetoelastic waves system and an inverse source problem in a bounded conductive medium ⋮ An inverse problem for an electroseismic model describing the coupling phenomenon of electromagnetic and seismic waves ⋮ A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equations ⋮ ON UNIQUENESS FOR TIME HARMONIC ANISOTROPIC MAXWELL'S EQUATIONS WITH PIECEWISE REGULAR COEFFICIENTS ⋮ Mesoscale approximation of the electromagnetic fields ⋮ Uniqueness for an inverse problem in electromagnetism with partial data ⋮ Exponential decay of quasilinear Maxwell equations with interior conductivity ⋮ Integral Equation Methods for Electrostatics, Acoustics, and Electromagnetics in Smoothly Varying, Anisotropic Media ⋮ Stability of the anisotropic Maxwell equations with a conductivity term ⋮ Quantitative uniqueness estimate for the Maxwell system with Lipschitz anisotropic media ⋮ Reconstruction of complex-valued tensors in the Maxwell system from knowledge of internal magnetic fields

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