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

Xiaobin Sun; Longjie Xie; Yingchao Xie

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arXiv · 1910.03360

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

Xiaobin Sun·Longjie Xie·Yingchao Xie

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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.

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Xiaobin Sun, Longjie Xie, Yingchao Xie. 2019-10-08. Averaging principle for slow-fast stochastic partial differential equations with H\"{o}lder continuous coefficients. https://arxiv.org/abs/1910.03360

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