退化噪声驱动下随机PDE的指数混合
Exponential Mixing for a Stochastic PDE Driven by Degenerate Noise
摘要：
研究了反应扩散型随机偏微分方程。我们表明，即使强迫非常退化（即没有满秩），也具有向不变测度的指数收敛。收敛发生在加权变分范数诱导的拓扑中，并使用一种（一致）Doeblin条件。
英文摘要：
We study stochastic partial differential equations of the reaction-diffusion type. We show that, even if the forcing is very degenerate (i.e. has not full rank), one has exponential convergence towards the invariant measure. The convergence takes place in the topology induced by a weighted variation norm and uses a kind of (uniform) Doeblin condition.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
