Quasi-periodic and almost periodic homogenizations of integro-differential equations with Levy operators

Details Quasi-periodic and almost periodic homogenizations of integro-differential equations with Levy operators Quasi-periodic and almost periodic homogenizations of integro-differential equations with Levy operators

2011-11-04

arxiv.org/abs/1111.1042v1

Mathematics

Analysis of PDEs

Written in February 2010, and submitted here as a report

Scientific paper

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.

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