English

Well-posedness for SDEs driven by different type of noises

Probability 2017-07-18 v1

Abstract

We show the existence and uniqueness of strong solutions for stochastic differential equation driven by partial α\alpha-stable noise and partial Brownian noise with singular coefficients. The proof is based on the regularity of degenerate mixed type Kolmogorov equation.

Keywords

Cite

@article{arxiv.1707.05067,
  title  = {Well-posedness for SDEs driven by different type of noises},
  author = {Yueling Li and Longjie Xie and Yingchao Xie},
  journal= {arXiv preprint arXiv:1707.05067},
  year   = {2017}
}
R2 v1 2026-06-22T20:48:45.395Z