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arXiv:1012.4163 [math.AP]AbstractReferencesReviewsResources

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

M. Arisawa

Published 2010-12-19Version 1

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.

Journal: Communications in Partial Differential Equations, 34, (2009), no.7, pp. 617-624
Categories: math.AP
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