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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Submitted on : Sunday, April 9, 2006 - 7:56:42 PM
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Antoine Lejay. Homogenization of divergence-form operators with lower order terms in random media. Probability Theory and Related Fields, Springer Verlag, 2001, 120 (2), pp.255-276. ⟨10.1007/s004400100135⟩. ⟨inria-00001220⟩

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