Approximation of resolvents in homogenization of fourth-order elliptic operators

DOI10.1070/SM9413zbMath1465.35038OpenAlexW3103375196MaRDI QIDQ5858149

S. E. Pastukhova

Publication date: 9 April 2021

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9413

zbMATH Keywords

correctorfourth-order elliptic operatorshift methodoperator estimate of homogenization error

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Higher-order elliptic equations (35J30) Elliptic operators and their generalizations (47F10)

Related Items (13)

Homogenization of the higher-order hyperbolic equations with periodic coefficients ⋮ Norm resolvent convergence of elliptic operators in domains with thin spikes ⋮ Improved approximations of resolvents in homogenization of higher order operators. The selfadjoint case ⋮ Operator estimates for planar domains with irregularly curved boundary. The Dirichlet and Neumann conditions ⋮ Operator estimates in two-dimensional problems with a frequent alternation in the case of small parts with the Dirichlet condition ⋮ 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 ⋮ Homogenization for operators with arbitrary perturbations in coefficients ⋮ Improved approximations of resolvent in homogenization of higher order operators ⋮ Improved approximations of resolvents in homogenization of fourth order operators ⋮ Operator \(L_2\)-estimates for two-dimensional problems with rapidly alternating boundary conditions

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