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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 in bounded smooth subsets of : 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 of , whos…
math.AP2025
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…