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Author Chen, Zhen-Qing ♦ Kim, Panki ♦ Song, Renming
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Dirichlet Heat Kernel Estimate ♦ Non-local Operator ♦ Feynman-kac Perturbation ♦ Stable Process ♦ Open Set ♦ Markov Process ♦ Distance Function ♦ Symmetric Stable-like Process ♦ Symmetric Stable Process ♦ Closed D-sets ♦ Non-local Feynman-kac Perturbation ♦ Two-sided Estimate
Abstract In this paper we show that Dirichlet heat kernel estimates for a class of (not necessarily symmetric) Markov processes are stable under non-local Feynman-Kac perturbations. This class of processes includes, among others, (reflected) symmetric stable-like processes on closed d-sets in R d, killed symmetric stable processes, censored stable processes in C 1,1 open sets as well as stable processes with drifts in bounded C 1,1 open sets. These two-sided estimates are explicit involving distance functions to the boundary.
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article
Publisher Date 2012-01-01