9 citations · 13 across the 7 of their papers we have counts for
6 papers · 1 filter
Dirichlet Heat kernel estimates for a large class of anisotropic Markov processes
Kyung-Youn Kim, Lidan Wang
Let be the d-dimensional Lévy {process} where {'s} are independent 1-dimensional Lévy {processes} with identical jumping kernel $ ν^1(r) =r^{-1}ϕ(r)…
Variational formulas for the exit time of Hunt processes generated by semi-Dirichlet forms
Lu-Jing Huang, Kyung-Youn Kim, Yong-Hua Mao +1
Variational formulas for the Laplace transform of the exit time from an open set of a Hunt process generated by a regular lower bounded semi-Dirichlet form are established. While f…
Variational principles for the exit time of non-symmetric diffusions
Lu-Jing Huang, Kyung-Youn Kim, Yong-Hua Mao
In this paper we develop some new variational principles for the exit time of non-symmetric diffusions from a domain. As applications, we give some comparison theorems and monotoni…
Estimates of Dirichlet heat kernel for symmetric Markov processes
Tomasz Grzywny, Kyung-Youn Kim, Panki Kim
We consider a large class of symmetric pure jump Markov processes dominated by isotropic unimodal Lévy processes with weak scaling conditions. First, we establish sharp two-sided h…
Global heat kernel estimates for symmetric Markov processes dominated by stable-like processes in exterior open sets
Kyung-Youn Kim
In this paper, we establish sharp two-sided heat kernel estimates for a large class of symmetric Markov processes in exterior open sets for all . The processes are…
Two-sided estimates for the transition densities of symmetric Markov processes dominated by stable-like processes in open sets
Kyung-Youn Kim, Panki Kim
In this paper, we study sharp Dirichlet heat kernel estimates for a large class of symmetric Markov processes in open sets. The processes are symmetric pure jump Markov p…