 |
|
|
|
| HAL : inria-00001220, version 1 |
| DOI : 10.1007/s004400100135 |
| Voir la fiche détaillée |  BibTeX,EndNote,... |
|
|
| Probability Theory and Related Fields 120, 2 (2001) 255-276 |
|
|
|
|
| Homogenization of divergence-form operators with lower order terms in random media |
|
|
| Antoine Lejay 1, 2 |
|
|
| (2001) |
|
|
|
| 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. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | SYSDYS (INRIA Sophia Antipolis) |
|
|
|
INRIA |
|
|
| 2 : | Laboratoire d'Analyse, Topologie, Probabilités (LATP) |
|
|
|
CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III |
|
|
|
|
|
|
|
|
|
| Domaine | : | Mathématiques/Probabilités |
|
|
| random media – random potential – homogenization – Dirichlet form – divergence-form operators |
|
|
|
| Liste des fichiers attachés à ce document : | |||||
|
|||||
|
|
|
| inria-00001220, version 1 | |
| http://hal.inria.fr/inria-00001220 | |
| oai:hal.inria.fr:inria-00001220 | |
| Contributeur : Antoine Lejay | |
| Soumis le : Dimanche 9 Avril 2006, 19:56:42 | |
| Dernière modification le : Dimanche 10 Septembre 2006, 10:18:25 | |
