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Alassane Diédhiou; Étienne Pardoux
Homogenization of periodic semilinear hypoelliptic PDEs
Annales de la faculté des sciences de Toulouse Sér. 6, 16 no. 2 (2007), p. 253-283, doi: 10.5802/afst.1148
Article PDF | Reviews MR 2331541 | Zbl 1131.35304

Résumé - Abstract

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.

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