\(L^2\)-approximation of resolvents in homogenization of higher order elliptic operators

DOI10.1007/s10958-020-05135-yzbMath1453.35016OpenAlexW3108955902MaRDI QIDQ2214360

S. E. Pastukhova

Publication date: 8 December 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-020-05135-y

zbMATH Keywords

periodic homogenizationdivergence form elliptic operatorshift methodoperator estimate

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Higher-order elliptic equations (35J30)

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 ⋮ On resolvent approximations of elliptic differential operators with periodic coefficients ⋮ 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 ⋮ 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 ⋮ Approximation of resolvents in homogenization of fourth-order elliptic operators

Cites Work

• Unnamed Item
• Unnamed Item
• On operator estimates for some problems in homogenization theory
• Estimates of homogenization for a parabolic equation with periodic coefficients
• On operator estimates in homogenization theory
• Homogenization of the fourth-order elliptic operator with periodic coefficients with correctors taken into account
• Estimates in homogenization of higher-order elliptic operators
• Operator estimates in homogenization theory
• Operator error estimates for homogenization of fourth order elliptic equations
• Homogenization of periodic differential operators of high order
• Homogenization of high order elliptic operators with periodic coefficients
• Homogenization with corrector term for periodic elliptic differential operators
• AVERAGING ANDG-CONVERGENCE OF DIFFERENTIAL OPERATORS

This page was built for publication: \(L^2\)-approximation of resolvents in homogenization of higher order elliptic operators