Homogenization of periodic differential operators of high order

DOI10.1090/S1061-0022-2011-01166-5zbMath1228.35031MaRDI QIDQ3093174

Nikolaj A. Veniaminov

Publication date: 12 October 2011

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

zbMATH Keywords

corrector estimateoscillating resolventresolvent of the effective operator

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (13)

Homogenization of the higher-order hyperbolic equations with periodic coefficients ⋮ Homogenization of high order elliptic operators with periodic coefficients ⋮ Threshold approximations for the resolvent of a polynomial nonnegative operator pencil ⋮ On operator estimates of the homogenization of higher-order elliptic systems ⋮ Improved resolvent 𝐿²-approximations in homogenization of fourth order operators ⋮ Homogenization of the higher-order parabolic equations with periodic coefficients ⋮ On operator estimates in homogenization of nonlocal operators of convolution type ⋮ Operator error estimates for homogenization of fourth order elliptic equations ⋮ Homogenization of the Dirichlet problem for higher-order elliptic equations with periodic coefficients ⋮ \(L^2\)-approximation of resolvents in homogenization of higher order elliptic operators ⋮ Homogenization of the higher-order Schrödinger-type equations with periodic coefficients ⋮ Combined effects of homogenization and singular perturbations: a Bloch wave approach ⋮ Approximation of resolvents in homogenization of fourth-order elliptic operators

Cites Work

• Perturbation theory for linear operators.
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