Heat kernels of non-symmetric jump processes with exponentially decaying jumping kernel

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:129

Article

Kim, Panki^1,2  Lee, Jaehun¹ 

[1] Seoul Natl Univ, Dept Math Sci, Bldg 27,1 Gwanak Ro, Seoul 08826, South Korea

[2] Seoul Natl Univ, Res Inst Math, Bldg 27,1 Gwanak Ro, Seoul 08826, South Korea

关键词: Heat kernel estimates;    Unimodal Levy process;    Non-symmetric operator;    Non-symmetric Markov process;   

DOI  :  10.1016/j.spa.2018.07.003

来源: Elsevier

【 摘 要 】

In this paper we study the transition densities for a large class of non-symmetric Markov processes whose jumping kernels decay exponentially or subexponentially. We obtain their upper bounds which also decay at the same rate as their jumping kernels. When the lower bounds of jumping kernels satisfy the weak upper scaling condition at zero, we also establish lower bounds for the transition densities, which are sharp. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free