Homogenization of elliptic operators with periodic coefficients in dependence of the spectral parameter

DOI10.1090/spmj/1412zbMath1338.35030OpenAlexW2505262588MaRDI QIDQ2811881

Tatiana Suslina

Publication date: 8 June 2016

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

Full work available at URL: https://doi.org/10.1090/spmj/1412

zbMATH Keywords

Dirichlet problemhomogenizationNeumann problemcorrectoreffective operatoroperator error estimatesperiodic differential operators

Mathematics Subject Classification ID

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

Related Items (12)

Homogenization of high order elliptic operators with periodic coefficients ⋮ Homogenization of the first initial boundary-value problem for parabolic systems: operator error estimates ⋮ Homogenization of the higher-order parabolic equations with periodic coefficients ⋮ Uniform estimates of resolvents in homogenization theory of elliptic systems ⋮ Homogenization of the Dirichlet problem for higher-order elliptic equations with periodic coefficients ⋮ Homogenization of higher-order parabolic systems in a bounded domain ⋮ Weak and strong approximation of semigroups on Hilbert spaces ⋮ Homogenization of a stationary periodic Maxwell system in a bounded domain in the case of constant magnetic permeability ⋮ Homogenization of the Neumann problem for higher order elliptic equations with periodic coefficients ⋮ Note on quantitative homogenization results for parabolic systems in \(\mathbb{R}^d\) ⋮ Homogenization of the stationary Maxwell system with periodic coefficients in a bounded domain ⋮ Homogenization of elliptic problems depending on a spectral parameter

Cites Work

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• Homogenization of the elliptic Dirichlet problem: error estimates in the \((L_2\to H^1)\)-norm
• Operator error estimates in \(L_2\) for homogenization of an elliptic Dirichlet problem
• Homogenization of solutions of initial boundary value problems for parabolic systems
• Convergence rates in \(L ^{2}\) for elliptic homogenization problems
• On operator estimates for some problems in homogenization theory
• Some estimates from homogenization theory
• Interior error estimate for periodic homogenization
• Homogenization of elliptic problems depending on a spectral parameter
• On operator estimates in homogenization theory
• Operator error estimates for homogenization of the elliptic Dirichlet problem in a bounded domain
• Direct Methods in the Theory of Elliptic Equations
• Homogenization with corrector term for periodic elliptic differential operators
• Error estimate and unfolding for periodic homogenization
• Second order periodic differential operators. Threshold properties and homogenization
• HOMOGENIZATION OF THE DIRICHLET PROBLEM FOR ELLIPTIC SYSTEMS: ‐OPERATOR ERROR ESTIMATES
• Homogenization of the Neumann Problem for Elliptic Systems with Periodic Coefficients
• Homogenization with corrector for periodic differential operators. Approximation of solutions in the Sobolev class $H^1({\mathbb{R}}^d)$

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