Asymptotic Analysis of Boundary Layer Correctors in Periodic Homogenization

DOI10.1137/120876502zbMath1270.35067arXiv1205.1472OpenAlexW2035068327MaRDI QIDQ4918843

Christophe Prange

Publication date: 6 May 2013

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

Full work available at URL: https://arxiv.org/abs/1205.1472

zbMATH Keywords

ergodicityPoisson kernelmultiscale analysissmall divisorsGreen kernelboundary layer tail

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Asymptotic expansions of solutions to PDEs (35C20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Green's functions for elliptic equations (35J08)

Related Items

Regularity of boundary data in periodic homogenization of elliptic systems in layered media ⋮ Quantitative analysis of boundary layers in periodic homogenization ⋮ Continuity and discontinuity of the boundary layer tail ⋮ Homogenization and boundary layers in domains of finite type ⋮ Regularity of homogenized boundary data in periodic homogenization of elliptic systems ⋮ Continuity properties for divergence form boundary data homogenization problems ⋮ Third-order corrections in periodic homogenization for elliptic problem ⋮ Slow Convergence in Periodic Homogenization Problems for Divergence-Type Elliptic Operators ⋮ Uniform Lipschitz estimates in bumpy half-spaces