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Applied Mathematics Research eXpress (2008) Vol. 2008 : article ID abn001, 23 pages, doi:10.1093/amrx/abn001 published on February 28, 2008
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© The Author 2008. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

Stochastic Diffeomorphisms and Homogenization of Multiple Integrals

Antoine Gloria

CERMICS - ENPC & INRIA Paris-Rocquencourt, 6 et 8 avenue Blaise Pascal - Champs sur Marne, France

In [4], 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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This Article
Right arrow Abstract Freely available
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
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Right arrow Email this article to a friend
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