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arXiv · 1807.04371

Homogenization of Levy-type operators with oscillating coefficients

Moritz Kassmann·Andrey Piatnitski·Elena Zhizhina
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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.

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Moritz Kassmann, Andrey Piatnitski, Elena Zhizhina. 2018-07-11. Homogenization of Levy-type operators with oscillating coefficients. https://arxiv.org/abs/1807.04371

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