Pathwise uniqueness for stochastic differential equations driven by pure jump processes
Probability
2017-03-30 v1
Abstract
Based on the weak existence and weak uniqueness, we study the pathwise uniqueness of the solutions for a class of one-dimensional stochastic differential equations driven by pure jump processes. By using Tanaka's formula and the local time technique, we show that there is no gap between the strong uniqueness and weak uniqueness when the coefficients of the Poisson random measures satisfy a suitable condition
Cite
@article{arxiv.1703.09951,
title = {Pathwise uniqueness for stochastic differential equations driven by pure jump processes},
author = {Jiayu Zheng and Jie Xiong},
journal= {arXiv preprint arXiv:1703.09951},
year = {2017}
}
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8 pages