Moment bounds for the corrector in stochastic homogenization of a percolation model
| dc.contributor.author | Lamacz, Agnes | |
| dc.contributor.author | Neukamm, Stefan | |
| dc.contributor.author | Otto, Felix | |
| dc.date.accessioned | 2013-09-30T15:14:31Z | |
| dc.date.available | 2013-09-30T15:14:31Z | |
| dc.date.issued | 2013-09-30 | |
| dc.description.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. | en |
| dc.identifier.uri | http://hdl.handle.net/2003/30624 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-10865 | |
| dc.language.iso | en | |
| dc.subject.ddc | 610 | |
| dc.title | Moment bounds for the corrector in stochastic homogenization of a percolation model | en |
| dc.type | Text | de |
| dc.type.publicationtype | preprint | en |
| dcterms.accessRights | open access |