68 citations · 439 across the 82 of their papers we have counts for
5 papers · 1 filter
Time Fractional Poisson Equations: Representations and Estimates
Zhen-Qing Chen, Panki Kim, Takashi Kumagai +1
In this paper, we study existence and uniqueness of strong as well as weak solutions for general time fractional Poisson equations. We show that there is an integral representation…
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…
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…
Boundary regularity for nonlocal operators with kernels of variable orders
Minhyun Kim, Panki Kim, Jaehun Lee +1
We study the boundary regularity of solutions of the Dirichlet problem for the nonlocal operator with a kernel of variable orders. Since the order of differentiability of the kerne…
Heat kernels of non-symmetric jump processes with exponentially decaying jumping kernel
Panki Kim, Jaehun Lee
In this paper we study the transition densities for a large class of non-symmetric Markov processes whose jumping kernels decay exponentially or subexponentially. We obtain their u…