Convergence rates and interior estimates in homogenization of higher order elliptic systems

DOI10.1016/j.jfa.2018.01.012zbMath1412.35025arXiv1706.02072OpenAlexW2963598547MaRDI QIDQ1702583

Peng Zhang

Publication date: 28 February 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.02072

zbMATH Keywords

convergence rateshomogenizationDirichlet boundary conditionelliptic systemshigher-orderrapidly oscillating periodic coefficientseven order elliptic systems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (13)

Convergence rates in homogenization of higher-order parabolic systems ⋮ \(L^p\) Neumann problems in homogenization of general elliptic operators ⋮ Periodic homogenization of Green's functions for Stokes systems ⋮ Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms ⋮ Quantitative estimates in reiterated homogenization ⋮ Homogenization of elliptic systems with stratified structure revisited ⋮ Regularity theory of elliptic systems in \(\varepsilon\)-scale flat domains ⋮ Operator Perturbation Approach for Fourth Order Elliptic Equations with Variable Coefficients ⋮ A refined convergence result in homogenization of second order parabolic systems ⋮ Uniform boundary estimates in homogenization of higher-order elliptic systems ⋮ Periodic homogenization of elliptic systems with stratified structure ⋮ Convergence rate in homogenization of elliptic systems with singular perturbations ⋮ Convergence rates in almost-periodic homogenization of higher-order elliptic systems

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