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.
Publié le : 2001-07-05
Classification:
random media,
random potential,
homogenization,
Dirichlet form,
divergence-form operators,
AMS : 35B27; (31C25; 35R60; 60H30; 60J60),
[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]
@article{inria-00001220,
author = {Lejay, Antoine},
title = {Homogenization of divergence-form operators with lower order terms in random media},
journal = {HAL},
volume = {2001},
number = {0},
year = {2001},
language = {en},
url = {http://dml.mathdoc.fr/item/inria-00001220}
}
Lejay, Antoine. Homogenization of divergence-form operators with lower order terms in random media. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/inria-00001220/