Homogenization of a class of integro-differential equations with L{é}vy operators

Details Homogenization of a class of integro-differential equations with L{é}vy operators Homogenization of a class of integro-differential equations with L{é}vy operators

2010-12-19

arxiv.org/abs/1012.4163v1

Communications in Partial Differential Equations, 34, (2009), no.7, pp. 617-624

Mathematics

Analysis of PDEs

Scientific paper

The periodic homogenization problem of integro-differential equations of the
alpha stable L{\'e}vy operators is studied in this paper. Thanking to the
symmetry of the L{\'e}vy 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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