Soobin Cho

activity

20182025

most citedFactorization and estimates of Dirichlet heat kernels for non-local operators with critical killings

7 citations · 16 across the 13 of their papers we have counts for

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5 papers · 1 filter

math.PR2025

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 $X$ in bounded smooth subsets of $R^{d}$ : conservative processes and processes killed eit…

math.PR2025

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 $F$ of $R^{d}$ , whos…

math.AP2025

Abnormal boundary decay for stable operators

Soobin Cho, Renming Song

Assume $α \in (0, 2)$ and $d \geq 2$ . Let $L^{α}$ be the generator of a symmetric, but not necessarily isotropic, $α$ -stable process $X$ in $R^{d}$ whose Lévy density is…

math.PR2025

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…

math.PR2025

Heat kernel estimates for Schrödinger operators with supercritical killing potentials

Soobin Cho, Panki Kim, Renming Song

In this paper, we study the Schrödinger operator $Δ - V$ , where $V$ is a supercritical non-negative potential belonging to a large class of functions containing functions of the form…