Homogenization of periodic semilinear hypoelliptic PDEs
Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 16 (2007) no. 2, pp. 253-283.

We establish homogenization results for both linear and semilinear partial differential equations of parabolic type, when the linear second order PDE operator satisfies a hypoellipticity asumption, rather than the usual ellipticity condition. Our method of proof is essentially probabilistic.

Nous établissons des résultats d’homogénéisation d’équations aux dérivées partielles paraboliques linéaires et semi–linéaires, sous une hypothèse d’hypoellipticité de l’opérateur aux dérivées partielles du second ordre, au lieu de l’hypothèse usuelle d’ellipticité. Notre méthode de démonstration est essentiellement probabiliste.

DOI: 10.5802/afst.1148
Diédhiou, Alassane 1; Pardoux, Étienne 2

1 Département de Mathématiques-Informatique, Faculté des Sciences et Technique, Université Cheikh Anta Diop, B.P. 5005 Dakar-Fann, Sénégal
2 L.A.T.P, Université de Provence, 39 rue F. Joliot Curie, 13453 Marseille cedex 13, France
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Diédhiou, Alassane; Pardoux, Étienne. Homogenization of periodic semilinear hypoelliptic PDEs. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 16 (2007) no. 2, pp. 253-283. doi : 10.5802/afst.1148. http://archive.numdam.org/articles/10.5802/afst.1148/

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