Identification of small amplitude perturbations in the electromagnetic parameters from partial dynamic boundary measurements.
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Publication:1399849
DOI10.1016/S0022-247X(02)00709-6zbMath1082.78006MaRDI QIDQ1399849
Publication date: 30 July 2003
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Maxwell's equationsreconstructionInverse problemgeometric controlWave equationelectromagnetic coefficients
Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)
Related Items (5)
Exact boundary controllability of the second-order Maxwell system: theory and numerical simulation ⋮ On a hyperbolic coefficient inverse problem via partial dynamic boundary measurements ⋮ On the identification of the heat conductivity distribution from partial dynamic boundary measurements ⋮ Numerical solution of an inverse initial boundary value problem for the wave equation in the presence of conductivity imperfections of small volume ⋮ Sensitivity analysis for 3D Maxwell's equations and its use in the resolution of an inverse medium problem at fixed frequency
Cites Work
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- A global uniqueness theorem for an inverse boundary value problem
- On continuous dependence for an inverse initial boundary value problem for the wave equation
- Boundary control, wave field continuation and inverse problems for the wave equation
- A linearized inverse boundary value problem for Maxwell's equations
- An inverse boundary value problem in electrodynamics
- Total determination of material parameters from electromagnetic boundary information
- Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. II: The full Maxwell equations.
- On the uniqueness of the recovery of parameters of the Maxwell system from dynamical boundary data
- Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence
- Inverse problems for Maxwell's equations
- Global uniqueness for a two-dimensional inverse boundary value problem
- Boundary Integral Formulae for the Reconstruction of Imperfections of Small Diameter in an Elastic Medium
- Determination of forces in vibrations of beams and plates by pointwise and line observations
- Boundary determination of material parameters from electromagnetic boundary information
- Generic well-posedness in a multidimensional hyperbolic inverse problem
- Boundary Controllability of Maxwell’s Equations in a Spherical Region
- Uniqueness for an inverse problem for the wave equation
- Exact Boundary Controllability of Maxwell’s Equations in a General Region
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction
- Identifying a Spatial Body Force in Linear Elastodynamics via Traction Measurements
- Determination of point wave sources by pointwise observations: stability and reconstruction
- Boundary control of the Maxwell dynamical system: lack of controllability by topological reasons
- Exact Boundary Controllability of Maxwell's Equations in Heterogeneous Media and an Application to an Inverse Source Problem
- Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter
- Smoothing property in multidimensional inverse hyperbolic problems: applications to uniqueness and stability
- Well-posedness of an inverse hyperbolic problem by the Hilbert uniqueness method
- An Inverse Initial Boundary Value Problem for the Wave Equation in the Presence of Imperfections of Small Volume
- Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method
- Contrôle et stabilisation d'ondes électromagnétiques
- Exact Boundary Controllability of a Maxwell Problem
- An electromagnetic inverse problem in chiral media
- On a global estimate in a linear inverse hyperbolic problem
- Inverse problems for partial differential equations
- Asymptotic formulas for steady state voltage potentials in the presence of conductivity imperfections of small area
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