Derivative Formula and Harnack Inequality for Linear SDEs Driven by L\'evy Processes
Probability
2013-08-22 v5
Abstract
By using lower bound conditions of the L\'evy measure, derivative formulae and Harnack inequalities are derived for linear stochastic differential equations driven by L\'evy processes. As applications, explicit gradient estimates and heat kernel inequalities are presented. As byproduct, a new Girsanov theorem for L\'evy processes is derived.
Keywords
Cite
@article{arxiv.1104.5531,
title = {Derivative Formula and Harnack Inequality for Linear SDEs Driven by L\'evy Processes},
author = {Feng-Yu Wang},
journal= {arXiv preprint arXiv:1104.5531},
year = {2013}
}
Comments
25 pages