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.
Financial support through Grant-in-Aid for Scientific Research (C) by MEXT (19K03552) is gratefully acknowledged.
"Homogenization of symmetric Dirichlet forms." J. Math. Soc. Japan 74 (1) 247 - 283, January, 2022. https://doi.org/10.2969/jmsj/85268526