Homogenization of a class of integro-differential equations with L\'evy operators
Abstract
The periodic homogenization problem of integro-differential equations of the alpha stable L\'evy operators is studied in this paper. Thanking to the symmetry of the L\'evy density, we can use the method of the formal asymptotic expansion, to connect the problem to the ergodic cell problem. A rigorous proof is given by the perturbed test function's method.
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