Density stability for some L\'evy-driven Stochastic Differential Equations
Probability
2016-03-17 v1
Abstract
We consider a Stochastic Differential Equation driven by a L\'evy process whose L\'evy measure satisfy a tempered stable domination. We study how a perturbation of the coefficients reflects on the density of the solution. We quantify the distance between the densities in term of the proximity of the coefficients. This extend to the stable case the works of [KKM15], where the noise is Gaussian.
Keywords
Cite
@article{arxiv.1603.05088,
title = {Density stability for some L\'evy-driven Stochastic Differential Equations},
author = {L Huang},
journal= {arXiv preprint arXiv:1603.05088},
year = {2016}
}