ABSTRACT

In this paper, using Zvonkin-type transform, the large deviation principle is proved for stochastic differential equations (SDEs) with Dini continuous drifts, where the existed methods for large deviation principle are unavailable. The method and result are new in related fields. Moreover, the result is also extended to a class of degenerate SDEs with Dini continuous drifts.

中文翻译：

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具有Dini连续漂移的SDE的大偏差原理

抽象的

本文采用Zvonkin型变换，证明了具有Dini连续漂移的随机微分方程（SDE）的大偏差原理，而现有的大偏差原理方法不可用。该方法和结果在相关领域是新的。此外，结果还扩展到一类具有Dini连续漂移的简并SDE。