Rate of convergence for correctors in almost periodic homogenization
type: Item
instance of: scholarly article
title: Rate of convergence for correctors in almost periodic homogenization
zbMATH Open document ID: 1077.35013
author: Rajesh Mahadevan
author: Andriy V. Bondarenko
author: Guy Bouchitté
author: Luísa M. Mascarenhas
published in: Discrete and Continuous Dynamical Systems
publication date: 2005-10-18T00:00:00Z
review text: It is well known that in the periodic homogenization the rate of convergence to zero of the zero order corrector is of the same order of the scale of periodicity. It is natural to ask if the same rate holds in the almost periodic case. The authors produce a counterexample which proves that the rate of convergence is of the order of the square root of the scale of periodicity.
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 42A75
zbMATH DE Number: 2215510
zbMATH Keywords: almost periodic functions
zbMATH Keywords: counterexample
reviewed by: Marco Biroli
MaRDI profile type: Publication
full work available at URL: dcds.2005.13.503
OpenAlex ID: W1995208673
DOI: 10.3934/DCDS.2005.13.503
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description: scientific article