5 citations · 16 across the 8 of their papers we have counts for
8 papers
A regularity theory for parabolic equations with anisotropic non-local operators in spaces
Jae-Hwan Choi, Jaehoon Kang, Daehan Park
In this paper, we present an -regularity theory for parabolic equations of the form: …
Heat kernel estimates for anisotropic symmetric jump processes
Jaehoon Kang
We show two-sided bounds of heat kernel for anisotropic non-singular symmetric pure jump Markov process whose jump kernel is comparable to $\frac{{\bf 1}_{\mathcal{V}}(x-y…
An -theory for time-fractional diffusion equations with nonlocal operators generated by Lévy processes with low intensity of small jumps
Jaehoon Kang, Daehan Park
We investigate an -regularity () theory for space-time nonlocal equations of the type . Here, is the…
Heat kernel estimates for Markov processes of direction-dependent type
Jaehoon Kang, Moritz Kassmann
We prove sharp pointwise heat kernel estimates for symmetric Markov processes associated with symmetric Dirichlet forms that are local with respect to some coordinates and nonlocal…
Heat kernel estimates and their stabilities for symmetric jump processes with general mixed polynomial growths on metric measure spaces
Joohak Bae, Jaehoon Kang, Panki Kim +1
In this paper, we consider a symmetric pure jump Markov process on a metric measure space with volume doubling conditions. Our focus is on estimating the transition density $p(…
Estimates of Dirichlet heat kernels for unimodal Lévy processes with low intensity of small jumps
Soobin Cho, Jaehoon Kang, Panki Kim
In this paper, we study transition density functions for pure jump unimodal Lévy processes killed upon leaving an open set . Under some mild assumptions on the Lévy density, we…
Heat kernel estimates for symmetric jump processes with mixed polynomial growths
Joohak Bae, Jaehoon Kang, Panki Kim +1
In this paper, we study the transition densities of pure-jump symmetric Markov processes in , whose jumping kernels are comparable to radially symmetric functions w…
Tangential limits for harmonic functions with respect to : stable and beyond
Jaehoon Kang, Panki Kim
In this paper, we discuss tangential limits for regular harmonic functions with respect to in the open set in , where is the complete…