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math.PR2024
Fractional Laplacian with supercritical killings
Soobin Cho, Renming Song
In this paper, we study Feynman-Kac semigroups of symmetric -stable processes with supercritical killing potentials belonging to a large class of functions containing functions…
math.PR2024
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…