Moment bounds for the corrector in stochastic homogenization of a percolation model
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1836 | |
dc.contributor.author | Lamacz, Agnes | |
dc.contributor.author | Neukamm, Stefan | |
dc.contributor.author | Otto, Felix | |
dc.date.accessioned | 2016-03-24T17:37:46Z | |
dc.date.available | 2019-06-28T08:20:03Z | |
dc.date.issued | 2013 | |
dc.description.abstract | We study the corrector equation in stochastic homogenization for a simplified Bernoulli percolation model on Zd, 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. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/2682 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3237 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Stochastic homogenization | eng |
dc.subject.other | percolation | eng |
dc.subject.other | corrector equation | eng |
dc.subject.other | quantitative results | eng |
dc.subject.other | Perkolationstheorie | eng |
dc.title | Moment bounds for the corrector in stochastic homogenization of a percolation model | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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