Homogenization with corrector for a stationary periodic Maxwell system

DOI10.1090/S1061-0022-08-01006-6zbMath1202.35319MaRDI QIDQ3053929

Tatiana Suslina

Publication date: 5 November 2010

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

effective mediumperiodic Maxwell operator

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Theoretical approximation in context of PDEs (35A35) Composite media; random media in optics and electromagnetic theory (78A48) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization in optics and electromagnetic theory (78M40) Maxwell equations (35Q61)

Related Items

On operator estimates in homogenization of nonlocal operators of convolution type ⋮ On a waveguide with frequently alternating boundary conditions: homogenized Neumann condition ⋮ Homogenization of a stationary periodic Maxwell system in a bounded domain in the case of constant magnetic permeability ⋮ Nonlocal \(H\)-convergence ⋮ Operator error estimates in the homogenization problem for nonstationary periodic equations ⋮ Homogenization of the stationary Maxwell system with periodic coefficients in a bounded domain ⋮ Operator-norm homogenisation estimates for the system of Maxwell equations on periodic singular structures

Cites Work

• Homogenization of the stationary periodic Maxwell system in the case of constant permeability
• On the homogenization of the periodic Maxwell system
• Estimates on the generalized Morrey spaces L_{\phi^2,\lambda} and BMO_{\psi} for linear elliptic systems
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