131 citations · 175 across the 2 of their papers we have counts for
3 papers
math.PR2014★ 131 cited
A Wong-Zakai theorem for stochastic PDEs
Martin Hairer, Étienne Pardoux
We prove a version of the Wong-Zakai theorem for one-dimensional parabolic nonlinear stochastic PDEs driven by space-time white noise. As a corollary, we obtain a detailed local de…
math.AP2009
Homogenization of a singular random one dimensional parabolic PDE with time varying coefficients
E. Pardoux, A. Piatnitski
The paper studies homogenization problem for a non-autonomous parabolic equation with a large random rapidly oscillating potential in the case of one dimensional spatial variable.…
math.PR2008★ 44 cited
Homogenization of a singular random one-dimensional PDE
Bogdan Iftimie, Étienne Pardoux, Andrey Piatnitski
This paper deals with the homogenization problem for a one-dimensional parabolic PDE with random stationary mixing coefficients in the presence of a large zero order term. We show…