3 papers
math.PR2026
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, critic…
math.PR2025
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 …
math.AP2024
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,…