Homogenization of operators with perturbations of general form in the lower-order terms

DOI10.1134/S0001434623010145OpenAlexW4323822059MaRDI QIDQ2690968

Denis I. Borisov

Publication date: 17 March 2023

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434623010145

zbMATH Keywords

perturbationasymptotic expansionhomogenizationmultipliersnorm resolvent convergence

Mathematics Subject Classification ID

Operator theory (47-XX) Partial differential equations (35-XX)

Cites Work

• Approximations of the resolvent for a non-self-adjoint diffusion operator with rapidly oscillating coefficients
• On a homogenization method for differential operators with oscillating coefficients
• Convergence rates in \(L ^{2}\) for elliptic homogenization problems
• Averaging of linear operators, adiabatic approximation, and pseudodifferential operators
• On operator-type homogenization estimates for elliptic equations with lower order terms
• Homogenization of the Dirichlet problem for higher-order elliptic equations with periodic coefficients
• Error estimate and unfolding for periodic homogenization
• Uniform convergence and asymptotics for problems in domains finely perforated along a prescribed manifold in the case of the homogenized Dirichlet condition

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