Heat kernels of non-symmetric jump processes: beyond the stable case

2016/06/07 by Kim, Panki, Song, Renming, Vondraček, Zoran · 1 citation
#60J35 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1606.02005

Abstract

Let J be the Lévy density of a symmetric Lévy process in ℝ^d with its Lévy exponent satisfying a weak lower scaling condition at infinity. Consider the non-symmetric and non-local operator \mathcal L^κf(x):= lim_{ε\downarrow 0} ∫_\z ∈ ℝ^d: |z|gt;ε\(f(x+z)-f(x))κ(x,z)J(z) dz , where κ(x,z) is a Borel measurable function on ℝ^d× ℝ^d satisfying 0

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