7 citations · 10 across the 7 of their papers we have counts for
10 papers
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…
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…
On the nonlocal heat equation for certain Lévy operators and the uniqueness of positive solutions
Irene Gonzálvez, Fernando Quirós, Fernando Soria +1
We develop a Widder-type theory for nonlocal heat equations involving quite general Lévy operators. Thus, we consider nonnegative solutions and look for conditions on the operator…
Markov processes with jump kernels decaying at the boundary
Soobin Cho, Panki Kim, Renming Song +1
The goal of this work is to develop a general theory for non-local singular operators of the type $$ L^{\mathcal{B}}_αf(x)=\lim_{ε\to 0} \int_{D,\, |y-x|>ε}\big(f(y)-f(x)\big) \mat…
A probabilistic approach to a non-local quadratic form and its connection to the Neumann boundary condition problem
Zoran Vondraček
In this paper, we look at a probabilistic approach to a non-local quadratic form that has lately attracted some interest. This form is related to a recently introduced non-local no…
Factorization and estimates of Dirichlet heat kernels for non-local operators with critical killings
Soobin Cho, Panki Kim, Renming Song +1
In this paper we discuss non-local operators with killing potentials, which may not be in the standard Kato class. We first discuss factorization of their Dirichlet heat kernels in…
On purely discontinuous additive functionals of subordinate Brownian motions
Zoran Vondraček, Vanja Wagner
Let be a purely discontinuous additive functional of a subordinate Brownian motion . We give a sufficient condition on the n…
A distributional equality for suprema of spectrally positive Lévy processes
Ivana Geček Tudjen, Zoran Vondraček
Let be a spectrally positive Lévy process with , an independent subordinator with finite expectation, and . A curious distributional equality proved in Huza…
Unavodiable collections of balls for isotropic Lévy processes
Ante Mimica, Zoran Vondraček
A collection of pairwise disjoint balls in the Euclidean space is said to be avoidable with respect to a transient process if the process…
Boundary Harnack principle for
Zhen-Qing Chen, Panki Kim, Renming Song +1
For and , consider the family of pseudo differential operators on that evolves continuously from to .…