Z. Vondravcek

activity

20092019

collaborators

3 papers

math.PR2019

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…

math.PR2018

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…

math.PR2009

Boundary Harnack principle for $Δ + Δ^{α /2}$

Zhen-Qing Chen, Panki Kim, Renming Song +1

For $d \geq 1$ and $α \in (0, 2)$ , consider the family of pseudo differential operators ${Δ + b Δ^{α /2}; b \in [0, 1]}$ on $R^{d}$ that evolves continuously from $Δ$ to $Δ + Δ^{α /2}$ .…

A probabilistic approach to a non-local quadratic form and its connection to the Neumann boundary condition problem

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

Boundary Harnack principle for Δ+Δα/2

Boundary Harnack principle for $Δ + Δ^{α /2}$