An inverse source problem for Maxwell's equations in anisotropic media

DOI10.1080/00036810500047725zbMath1081.35144OpenAlexW1984083687WikidataQ58303176 ScholiaQ58303176MaRDI QIDQ5711143

Shumin Li, Masahiro Yamamoto

Publication date: 9 December 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810500047725

zbMATH Keywords

conditional stabilityCarleman estimateinverse source problems

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Electromagnetic theory (general) (78A25) First-order hyperbolic systems (35L40)

Related Items (11)

Inverse source problems in electrodynamics ⋮ A Carleman estimate and an energy method for a first-order symmetric hyperbolic system ⋮ Local logarithmic stability of an inverse coefficient problem for a singular heat equation with an inverse-square potential ⋮ 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 ⋮ Inverse moving source problems in electrodynamics ⋮ 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 ⋮ Some remarks on a class of inverse problems related to the parabolic approximation to the Maxwell equations: a controllability approach ⋮ Stability for the inverse source problems in elastic and electromagnetic waves

Cites Work

• Determination of the coefficient q with respect to the solution of the second boundary-value problem for the equation \(u_ t-\Delta u+qu=f\) in the half-space (global existence)
• On the strong unique continuation principle for inequalities of Maxwell type
• Uniqueness and stability in multidimensional hyperbolic inverse problems
• Global Lipschitz stability in an inverse hyperbolic problem by interior observations
• CARLEMAN ESTIMATES AND INVERSE PROBLEMS FOR SECOND ORDER HYPERBOLIC EQUATIONS
• Inverse problems and Carleman estimates

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