Homogenization of non-autonomous evolution problems for convolution type operators in random media
Analysis of PDEs
2023-07-26 v1 Functional Analysis
Probability
Abstract
We study homogenization problem for non-autonomous parabolic equations of the form with an integral convolution type operator that has a non-symmetric jump kernel which is periodic in spatial variables and stationary random in time. We show that the homogenized equation is a SPDE with a finite dimensional multiplicative noise.
Cite
@article{arxiv.2307.13391,
title = {Homogenization of non-autonomous evolution problems for convolution type operators in random media},
author = {Andrey Piatnitski and Elena Zhizhina},
journal= {arXiv preprint arXiv:2307.13391},
year = {2023}
}