Convergence Rates for General Elliptic Homogenization Problems in Lipschitz Domains

DOI10.1137/15M1053335zbMath1353.35048OpenAlexW2547324181MaRDI QIDQ2832325

Qiang Xu

Publication date: 11 November 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1053335

zbMATH Keywords

corrector estimateslower order termsno smoothness on the coefficients

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (14)

Convergence rates for linear elasticity systems on perforated domains ⋮ Homogenization of the first initial boundary-value problem for parabolic systems: operator error estimates ⋮ \(L^p\) Neumann problems in homogenization of general elliptic operators ⋮ Stochastic Homogenization and Geometric Singularities: A Study on Corners ⋮ Homogenization of the Dirichlet problem for elliptic and parabolic systems with periodic coefficients ⋮ Optimal Boundary Estimates for Stokes Systems in Homogenization Theory ⋮ Homogenization of elliptic systems with stratified structure revisited ⋮ A refined convergence result in homogenization of second order parabolic systems ⋮ Homogenization of periodic parabolic systems in the $L_2(\mathbb {R}^d)$-norm with the corrector taken into account ⋮ Uniform boundary estimates in homogenization of higher-order elliptic systems ⋮ On homogenization of the first initial-boundary value problem for periodic hyperbolic systems ⋮ Convergence rates and \(W^{1,p}\) estimates in homogenization theory of Stokes systems in Lipschitz domains ⋮ Convergence rates on periodic homogenization of \(p\)-Laplace type equations ⋮ Notes on exterior \(L^p\) boundary value problems for nonhomogeneous elliptic operators

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