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Strong Uniqueness of Degenerate SDEs with H\"older diffusion coefficients

Probability 2018-05-16 v1

Abstract

In this paper we prove a new strong uniqueness result and a weak existence result for possibly {\it degenerate} multidimensional stochastic differential equations with Sobolev diffusion coefficients and rough drifts. In particular, examples with H\"older diffusion coefficients are provided to show our results.

Keywords

Cite

@article{arxiv.1805.05526,
  title  = {Strong Uniqueness of Degenerate SDEs with H\"older diffusion coefficients},
  author = {Zhen Wang and Xicheng Zhang},
  journal= {arXiv preprint arXiv:1805.05526},
  year   = {2018}
}

Comments

8pp