Abstract In this article, based on the tool of coupling method, Girsanov’s theorem and a stopping argument, we establish the exponential ergodicity for white noise driven parabolic stochastic partial differential equations when the coefficients are non-Lipschitz continuous.

中文翻译：

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具有两个反射壁的非 Lipschitz 白噪声驱动的抛物线随机偏微分方程的指数遍历性

摘要 本文基于耦合方法、Girsanov 定理和停止参数，建立了系数为非Lipschitz 连续的白噪声驱动抛物线随机偏微分方程的指数遍历性。