Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Homogenization of symmetric Dirichlet forms
Matsuyo TomisakiToshihiro Uemura
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2022 Volume 74 Issue 1 Pages 247-283

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Abstract

We consider a homogenization problem for symmetric jump-diffusion processes by using the Mosco convergence and the two-scale convergence of the corresponding Dirichlet forms. Moreover, we show the weak convergence of the processes.

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