Homogenization estimates for singularly perturbed operators

DOI10.1007/s10958-020-05125-0zbMath1453.35015OpenAlexW3098658043MaRDI QIDQ2214350

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/s10958-020-05125-0

zbMATH Keywords

periodic homogenizationfourth order elliptic operatorpproximations of the resolvent

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Higher-order elliptic equations (35J30)

Related Items (14)

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 estimates for parabolic equations with correctors ⋮ Improved approximations of resolvent in homogenization of higher order operators ⋮ Improved approximations of resolvents in homogenization of fourth order operators ⋮ Combined effects of homogenization and singular perturbations: a Bloch wave approach ⋮ Operator \(L_2\)-estimates for two-dimensional problems with rapidly alternating boundary conditions ⋮ Approximations of resolvents of second order elliptic operators with periodic coefficients ⋮ Approximation of resolvents in homogenization of fourth-order elliptic operators

Cites Work

• Unnamed Item
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• On homogenization for non-self-adjoint periodic elliptic operators on an infinite cylinder
• Approximations of the resolvent for a non-self-adjoint diffusion operator with rapidly oscillating coefficients
• G-convergence of elliptic operators
• Averaging of singularly perturbed elliptic operators
• Operator estimates in nonlinear problems of reiterated homogenization
• On operator estimates for some problems in homogenization theory
• Estimates of homogenization for a parabolic equation with periodic coefficients
• Some estimates from homogenized elasticity problems
• On homogenization for non-self-adjoint locally periodic elliptic operators
• Operator estimates in homogenization of elliptic systems of equations
• \(L^2\)-estimates for homogenization of elliptic operators
• On resolvent approximations of elliptic differential operators with locally periodic coefficients
• Approximation of the exponential of a diffusion operator with multiscale coefficients
• Operator estimates in reiterated and locally periodic homogenization
• On operator estimates in homogenization theory
• Operator estimates in homogenization theory
• Homogenization with corrector term for periodic elliptic differential operators
• Singular Perturbations and the Transition from Thin Plate to Membrane
• Second order periodic differential operators. Threshold properties and homogenization
• Estimates in homogenization of degenerate elliptic equations by spectral method
• Convergence rate in homogenization of elliptic systems with singular perturbations

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