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Global Dirichlet Heat Kernel Estimates for Symmetric L\'evy Processes in Half-space

Authors
  • Chen, Zhen-Qing
  • Kim, Panki
Type
Preprint
Publication Date
Feb 19, 2016
Submission Date
Apr 17, 2015
Identifiers
arXiv ID: 1504.04673
Source
arXiv
License
Yellow
External links

Abstract

In this paper, we derive explicit sharp two-sided estimates for the Dirichlet heat kernels of a large class of symmetric (but not necessarily rotationally symmetric) L\'evy processes on half spaces for all $t>0$. These L\'evy processes may or may not have Gaussian component. When L\'evy density is comparable to a decreasing function with damping exponent $\beta$,our estimate is explicit in terms of the distance to the boundary, the L\'evy exponent and the damping exponent $\beta$ of L\'evy density.

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