Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization
ESAIM. Proceedings, Tome 48 (2015), pp. 80-97
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We establish quantitative results on the periodic approximation of the corrector equation for the stochastic homogenization of linear elliptic equations in divergence form, when the diffusion coefficients satisfy a spectral gap estimate in probability, and for d> 2. This work is based on [5], which is a complete continuum version of [6, 7] (with in addition optimal results for d = 2). The main difference with respect to the first part of [5] is that we avoid here the use of Green’s functions and more directly rely on the De Giorgi-Nash-Moser theory.
@article{EP_2015_48_a3,
author = {Antoine Gloria and F\'elix Otto},
title = {Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization},
journal = {ESAIM. Proceedings},
pages = {80--97},
year = {2015},
volume = {48},
doi = {10.1051/proc/201448003},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201448003/}
}
TY - JOUR AU - Antoine Gloria AU - Félix Otto TI - Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization JO - ESAIM. Proceedings PY - 2015 SP - 80 EP - 97 VL - 48 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc/201448003/ DO - 10.1051/proc/201448003 LA - en ID - EP_2015_48_a3 ER -
%0 Journal Article %A Antoine Gloria %A Félix Otto %T Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization %J ESAIM. Proceedings %D 2015 %P 80-97 %V 48 %U http://geodesic.mathdoc.fr/articles/10.1051/proc/201448003/ %R 10.1051/proc/201448003 %G en %F EP_2015_48_a3
Antoine Gloria; Félix Otto. Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization. ESAIM. Proceedings, Tome 48 (2015), pp. 80-97. doi: 10.1051/proc/201448003
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