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Strong Solutions to Reflecting Stochastic Differential Equations with Singular Drift

Probability 2020-02-28 v1

Abstract

In this paper, we prove that there exists a unique strong solution to reflecting stochastic differential equations with merely measurable drift giving an affirmative answer to the longstanding problem. This is done through Zvonkin transformation and a careful analysis of the transformed reflecting stochastic differential equations on non-smooth time-dependent domains.

Keywords

Cite

@article{arxiv.2002.12150,
  title  = {Strong Solutions to Reflecting Stochastic Differential Equations with Singular Drift},
  author = {Saisai Yang and Tusheng Zhang},
  journal= {arXiv preprint arXiv:2002.12150},
  year   = {2020}
}
R2 v1 2026-06-23T13:56:11.743Z