Homogenization of periodic semilinear hypoelliptic PDEs
Alassane Diédhiou, Étienne Pardoux · Annales de la faculté des sciences de Toulouse Mathématiques · 2007
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.