Authors: | Lamacz, Agnes Neukamm, Stefan Otto, Felix |
Title: | Moment bounds for the corrector in stochastic homogenization of a percolation model |
Language (ISO): | en |
Abstract: | We study the corrector equation in stochastic homogenization for a simplified Bernoulli percolation model on Z^d, d > 2. The model is obtained from the classical {0,1}-Bernoulli bond percolation by conditioning all bonds parallel to the first coordinate direction to be open. As a main result we prove (in fact for a slightly more general model) that stationary correctors exist and that all finite moments of the corrector are bounded. This extends a previous result in [8], where uniformly elliptic conductances are treated, to the degenerate case. Our argument is based on estimates on the gradient of the elliptic Green's function. |
URI: | http://hdl.handle.net/2003/30624 http://dx.doi.org/10.17877/DE290R-10865 |
Issue Date: | 2013-09-30 |
Appears in Collections: | Preprints der Fakultät für Mathematik |
Files in This Item:
File | Description | Size | Format | |
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mathematicalPreprint-2013-09.pdf | 560.54 kB | Adobe PDF | View/Open |
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