Homogenization of a Singular Random One-dimensional Pde with Time-varying Coefficients by Étienne Pardoux

@inproceedings{Piatnitski2012HomogenizationOA,
  title={Homogenization of a Singular Random One-dimensional Pde with Time-varying Coefficients by Étienne Pardoux},
  author={Andrey L. Piatnitski},
  year={2012}
}
In this paper we study the homogenization of a nonautonomous parabolic equation with a large random rapidly oscillating potential in the case of onedimensional spatial variable. We show that if the potential is a statistically homogeneous rapidly oscillating function of both temporal and spatial variables, then, under proper mixing assumptions, the limit… CONTINUE READING