Averaging principle for slow-fast stochastic partial differential equations with Hölder continuous coefficients (1910.03360v2)

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.