4 papers · 1 filter
Heat kernel estimates for Markov processes with blowing-up jump kernels
Soobin Cho, Panki Kim, Renming Song +1
In this paper, we establish sharp two-sided heat kernel estimates for a large class of purely discontinuous symmetric Markov processes on closed subsets of , whos…
Heat kernel estimates for Markov processes in bounded sets with jump kernels decaying at the boundary
Soobin Cho, Panki Kim, Renming Song +1
In this paper, we study two types of purely discontinuous symmetric Markov processes in bounded smooth subsets of : conservative processes and processes killed eit…
Approximate factorizations for non-symmetric jump processes
Soobin Cho, Renming Song
In this paper, we first extend the approximate factorization for purely discontinuous Markov process established in \cite{CKSV20} by getting rid of some of the conditions imposed i…
Heat kernel estimates for Schrödinger operators with supercritical killing potentials
Soobin Cho, Panki Kim, Renming Song
In this paper, we study the Schrödinger operator , where is a supercritical non-negative potential belonging to a large class of functions containing functions of the fo…