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Quasi-periodic and almost periodic homogenizations of integro-differential equations with Levy operators (1111.1042v1)
Published 4 Nov 2011 in math.AP and math.PR
Abstract: In this paper, we studied quasi-periodic and almost periodic homogenizations of integro-differential equations with Levy operators, which contain alpha stable Levy densities. This is the intermediate stage between the periodic homogenization and the stochastic homogenization of the non-local problem, and is the straight forward generalization of the case of partial differential equations.