Density estimates for sdes driven by tempered stable processes
Probability
2016-02-01 v2
Abstract
We study a class of stochastic differential equations driven by a possibly tempered L{\'e}vy process, under mild conditions on the coefficients. We prove the well-posedness of the associated martingale problem as well as the existence of the density of the solution. Two sided heat kernel estimates are given as well. Our approach is based on the Parametrix series expansion
Cite
@article{arxiv.1504.04183,
title = {Density estimates for sdes driven by tempered stable processes},
author = {L Huang},
journal= {arXiv preprint arXiv:1504.04183},
year = {2016}
}