In this paper, we study the stochastic partial differential equation with two reflecting smooth walls h 1 and h 2 , driven by a fractional noise, which is fractional in time and white in space. The large deviation principle for the law of the solution to this equation, will be established through developing a classical method. Furthermore, we obtain the Hölder continuity of the solution.

中文翻译：

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分数噪声驱动的反射 SPDE

在本文中，我们研究了具有两个反射光滑壁 h 1 和 h 2 的随机偏微分方程，由分数噪声驱动，分数噪声在时间上是分数，在空间上是白色的。该方程解法的大偏差原理，将通过发展经典方法来建立。此外，我们获得了解决方案的 Hölder 连续性。