English

Averaging principle for slow-fast stochastic partial differential equations with H\"{o}lder continuous coefficients

Probability 2020-03-10 v2

Abstract

By using the technique of the Zvonkin's transformation and the classical Khasminkii's time discretization method, we prove the averaging principle for slow-fast stochastic partial differential equations with bounded and H\"{o}lder continuous drift coefficients. An example is also provided to explain our result.

Keywords

Cite

@article{arxiv.1910.03360,
  title  = {Averaging principle for slow-fast stochastic partial differential equations with H\"{o}lder continuous coefficients},
  author = {Xiaobin Sun and Longjie Xie and Yingchao Xie},
  journal= {arXiv preprint arXiv:1910.03360},
  year   = {2020}
}

Comments

21 pages

R2 v1 2026-06-23T11:37:31.217Z