Effective Approximation for a Stochastic System with Large Potential
Analysis of PDEs
2020-11-20 v1 Probability
Abstract
This letter is about effective approximation for a stochastic parabolic equation with a large potential in a periodic medium. Under a condition on the spectral properties of the associated cell problem, we prove that the solution can be approximately factorized as the product of a fast oscillating cell eigenfunction and of a solution of an effective equation.
Cite
@article{arxiv.2011.09659,
title = {Effective Approximation for a Stochastic System with Large Potential},
author = {Ao Zhang and Jinqiao Duan},
journal= {arXiv preprint arXiv:2011.09659},
year = {2020}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2005.06298