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Stochastic diffeomorphisms and homogenization of multiple integrals
Abstract : In a recent work, Blanc, Le Bris and Lions have introduced the notion of stochastic diffeomorphism together with a variant of stochastic homogenization theory for linear and monotone elliptic operators. Their proofs rely on the ergodic theorem and on the analysis of the associated corrector equation. In the present article, we provide another proof of their results using the formalism of integral functionals. We also extend the analysis to cover the case of quasiconvex integrands.
Cited literature [21 references]
https://hal.inria.fr/inria-00176568
Contributor : Rapport de Recherche Inria <>
Submitted on : Friday, October 5, 2007 - 10:04:06 AM
Last modification on : Friday, April 19, 2019 - 3:24:49 PM
Long-term archiving on: : Friday, November 25, 2016 - 6:42:10 PM
Contributor : Rapport de Recherche Inria <>
Submitted on : Friday, October 5, 2007 - 10:04:06 AM
Last modification on : Friday, April 19, 2019 - 3:24:49 PM
Long-term archiving on: : Friday, November 25, 2016 - 6:42:10 PM
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RR-6316.pdf
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