Abstract : We prove here using stochastic analysis the homogenization property of second-order divergence-form operators with lower-order differential terms (possibly highly-oscillating) in periodic media. The coefficients are not assumed to have any regularity, so the stochastic calculus theory for processes associated to Dirichlet forms is used. The Girsanov Theorem and the Feynman-Kac formula are used to work on the probabilistic representation of the solutions of some PDEs.
https://hal.inria.fr/inria-00001219
Contributeur : Antoine Lejay
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Soumis le : dimanche 9 avril 2006 - 19:46:50
Dernière modification le : mardi 9 octobre 2018 - 13:30:02
Document(s) archivé(s) le : samedi 3 avril 2010 - 22:14:25
Antoine Lejay. A Probabilistic Approach to the Homogenization of Divergence-Form Operators in Periodic Media. Asymptotic Analysis, IOS Press, 2001, 28 (2), pp.151-162. 〈inria-00001219〉
