Fractional Laplacian with Supercritical Killings
Copyright policy )Fractional Laplacian with Supercritical Killings
In this paper, we study Feynman-Kac semigroups of symmetric $\alpha$-stable processes with supercritical killing potentials belonging to a large class of functions containing functions of the form $b|x|^{-\beta}$, where $b>0$ and $\beta>\alpha$. We obtain two-sided estimates on the densities $p(t, x, y)$ of these semigroups for all $t>0$, along with estimates for the corresponding Green functions.
Comment: 55 pages
- University of Illinois at Urbana Champaign United States
\(\alpha\)-stable processes, Mathematics - Analysis of PDEs, Stable stochastic processes, Feynman-Kac semigroups, 60G51, 60J25, 60J35, 60J76, Applications of stochastic analysis (to PDEs, etc.), fractional Laplacian, Green functions, Mathematics - Probability
\(\alpha\)-stable processes, Mathematics - Analysis of PDEs, Stable stochastic processes, Feynman-Kac semigroups, 60G51, 60J25, 60J35, 60J76, Applications of stochastic analysis (to PDEs, etc.), fractional Laplacian, Green functions, Mathematics - Probability
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!