Homogenization of Levy-type operators with oscillating coefficients
Analysis of PDEs
2018-07-13 v1
Abstract
The paper deals with homogenization of Levy-type operators with rapidly oscillating coefficients. We consider cases of periodic and random statistically homogeneous micro-structures and show that in the limit we obtain a Levy-operator. In the periodic case we study both symmetric and non-symmetric kernels whereas in the random case we only investigate symmetric kernels. We also address a nonlinear version of this homogenization problem.
Keywords
Cite
@article{arxiv.1807.04371,
title = {Homogenization of Levy-type operators with oscillating coefficients},
author = {Moritz Kassmann and Andrey Piatnitski and Elena Zhizhina},
journal= {arXiv preprint arXiv:1807.04371},
year = {2018}
}