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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Received: 27 August 1999 / Revised version: 27 October 2000 / Published online: 26 April 2001
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Lejay, A. Homogenization of divergence-form operators with lower-order terms in random media. Probab Theory Relat Fields 120, 255–276 (2001). https://doi.org/10.1007/PL00008783
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DOI: https://doi.org/10.1007/PL00008783