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Homogenization of Lévy-type Operators with Oscillating Coefficients
M. Kassmann, A. Piatnitski, E. Zhizhina
Source abstract
The paper deals with homogenization of Lévy-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 Lévy-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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