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Journal Articles Applied Mathematics Research eXpress Year : 2008

Stochastic diffeomorphisms and homogenization of multiple integrals

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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.
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Dates and versions

inria-00176568 , version 1 (04-10-2007)
inria-00176568 , version 2 (05-10-2007)

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Antoine Gloria. Stochastic diffeomorphisms and homogenization of multiple integrals. Applied Mathematics Research eXpress, 2008, 2008 (abn001), pp.1-23. ⟨10.1093/amrx/abn001⟩. ⟨inria-00176568v2⟩
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