Asymptotic behaviour of the energy for electromagnetic systems in the presence of small inhomogeneities

DOI10.1080/00036811.2010.551763zbMath1247.78004OpenAlexW2083140730WikidataQ58274169 ScholiaQ58274169MaRDI QIDQ2903154

Abdessatar Khelifi, Christian Daveau

Publication date: 23 August 2012

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

Full work available at URL: https://doi.org/10.1080/00036811.2010.551763

zbMATH Keywords

Maxwell's equationsasymptotic behaviourelectromagnetic energyelectromagnetic inhomogeneities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Perturbations in context of PDEs (35B20) Electromagnetic theory (general) (78A25) Asymptotic analysis in optics and electromagnetic theory (78M35) Maxwell equations (35Q61)

Related Items (1)

Stability of electromagnetic cavities perturbed by small perfectly conducting inclusions

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Note on the decay of acoustic waves
• Decay of electromagnetic energy in a perturbed half-space
• Electromagnetic scattering by small dielectric inhomogeneities.
• Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. II: The full Maxwell equations.
• Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence
• On the perturbation of the electromagnetic energy due to the presence of small inhomogeneities
• Asymptotic behaviour of the energy for electromagnetic systems with memory
• Decay for solutions of the exterior problem for the wave equation
• Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction
• Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter
• On the Solution of Time-Harmonic Scattering Problems for Maxwell’s Equations
• MUSIC‐Type Electromagnetic Imaging of a Collection of Small Three‐Dimensional Inclusions

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