Homogenization of biased convolution type operators
Functional Analysis
2018-12-04 v1
Abstract
This paper deals with homogenization of parabolic problems for integral convolution type operators with a non-symmetric jump kernel in a periodic elliptic medium. It is shown that the homogenization result holds in moving coordinates. We determine the corresponding effective velocity and prove that the limit operator is a second order parabolic operator with constant coefficients. We also consider the behaviour of the effective velocity in the case of small antisymmetric perturbations of a symmetric kernel.
Keywords
Cite
@article{arxiv.1812.00027,
title = {Homogenization of biased convolution type operators},
author = {Andrey Piatnitski and Elena Zhizhina},
journal= {arXiv preprint arXiv:1812.00027},
year = {2018}
}