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- W4297945343 abstract "The paper deals with homogenization problem for a non-local linear operator with a kernel of convolution type in a medium with a periodic structure. We consider the natural diffusive scaling of this operator and study the limit behaviour of the rescaled operators as the scaling parameter tends to 0. More precisely we show that in the topology of resolvent convergence the family of rescaled operators converges to a second order elliptic operator with constant coefficients. We also prove the convergence of the corresponding semigroups both in $L^2$ space and the space of continuous functions, and show that for the related family of Markov processes the invariance principle holds." @default.
- W4297945343 created "2022-10-01" @default.
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- W4297945343 date "2016-04-18" @default.
- W4297945343 modified "2023-10-17" @default.
- W4297945343 title "Periodic homogenization of non-local operators with a convolution type kernel" @default.
- W4297945343 doi "https://doi.org/10.48550/arxiv.1604.05038" @default.
- W4297945343 hasPublicationYear "2016" @default.
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