Homogenization of Random Parabolic Operator with Large Potential

Fabien Campillo (1) , Marina Kleptsyna , Andrey Piatnitski

1 SYSDYS - Stochastic Dynamical Systems

We study the averaging problem for a divergence form random parabolic operators with a large potential and with coefficients rapidly oscillating both in space and time variables. We assume that the medium possesses the periodic microscopic structure while the dynamics of the system is random and, moreover, diffusive.

Mots clés: RANDOM OPERATORS; HOMOGENIZATION; AVERAGING

Domaines: Autre [cs.OH]

Fabien Campillo, Marina Kleptsyna, Andrey Piatnitski. Homogenization of Random Parabolic Operator with Large Potential. RR-3520, INRIA. 1998. ⟨inria-00073164⟩