Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2015-01-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | http://dx.doi.org/10.1051/proc/201448003 |
| Summary: | 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. |
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| ISSN: | 2267-3059 |