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Journal Articles Probability Theory and Related Fields Year : 2001

Homogenization of divergence-form operators with lower order terms in random media

Abstract

The probabilistic machinery (Central Limit Theorem, Feynman-Kac formula and Girsanov Theorem) is used to study the homogenization property for PDE with second-order partial differential operator in divergence-form whose coefficients are stationary, ergodic random fields. Furthermore, we use the theory of Dirichlet forms, so that the only conditions required on the coefficients are non degeneracy and boundedness.
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Dates and versions

inria-00001220 , version 1 (09-04-2006)

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Antoine Lejay. Homogenization of divergence-form operators with lower order terms in random media. Probability Theory and Related Fields, 2001, 120 (2), pp.255-276. ⟨10.1007/s004400100135⟩. ⟨inria-00001220⟩
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