4 papers
High-order convergence rates of periodic homogenization for symmetric Lévy type operators
Xin Chen, Zhen-Qing Chen, Takashi Kumagai +1
In this paper, we establish higher-order convergence rates of the periodic homogenizatio for symmetric Lévy-type operators, encompassing the subcritical -stable regime, critical…
Quantitative homogenization on time-dependent random conductance models with stable-like jumps
Xin Chen, Zhen-Qing Chen, Takashi Kumagai +1
We establish quantitative homogenization results for time-dependent random conductance models with stable-like long range jumps on , where the transition probability from …
Local boundedness of solutions to parabolic equations associated with fractional -Laplacian type operators
Takashi Kumagai, Jian Wang, Meng-ge Zhang
In this paper, we study the local boundedness of local weak solutions to the following parabolic equation associated with fractional -Laplacian type operators $$ \partial_t u(t,…
Quantitative periodic homogenization for symmetric non-local stable-like operators
Xin Chen, Zhen-Qing Chen, Takashi Kumagai +1
Homogenization for non-local operators in periodic environments has been studied intensively. So far, these works are mainly devoted to the qualitative results, that is, to determi…