Harnack and Shift Harnack Inequalities for SDEs with Integrable Drifts
Probability
2018-05-16 v1
Abstract
In this paper, the coupling by change of measure is constructed for a class of SDEs with integrable drift and additive noise, from which the Harnack and shift Harnack inequalities are derived. Finally, as applications, the gradient estimate, the regularity of the heat kernel and the distribution properties of the associated transition probability are also obtained. The important tool is Krylov's estimate.
Keywords
Cite
@article{arxiv.1805.05639,
title = {Harnack and Shift Harnack Inequalities for SDEs with Integrable Drifts},
author = {Xing Huang},
journal= {arXiv preprint arXiv:1805.05639},
year = {2018}
}
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