一类带状态交换的spde的周期测度

IF 0.8 4区数学 Q3 STATISTICS & PROBABILITY

Stochastics and Dynamics Pub Date : 2022-06-02 DOI:10.1142/s021949372350034x

Chun Ho Lau, Weiling Sun

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引用次数: 0

摘要

我们使用变分方法研究了一类具有状态切换的SPDEs的周期测度。混合动力系统由简并的L\ {e}维噪声驱动。利用Lyapunov函数方法研究了周期测度的存在性，并通过建立相关时间非齐次半群的强Feller性质和不可约性证明了周期测度的唯一性。主要结果应用于具有状态切换的随机多孔介质方程。

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Periodic measures for a class of SPDEs with regime-switching

We use the variational approach to investigate periodic measures for a class of SPDEs with regime-switching. The hybrid system is driven by degenerate L\'{e}vy noise. We use the Lyapunov function method to study the existence of periodic measures and show the uniqueness of periodic measures by establishing the strong Feller property and irreducibility of the associated time-inhomogeneous semigroup. The main results are applied to stochastic porous media equations with regime-switching.

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来源期刊

Stochastics and Dynamics 数学-统计学与概率论

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This interdisciplinary journal is devoted to publishing high quality papers in modeling, analyzing, quantifying and predicting stochastic phenomena in science and engineering from a dynamical system''s point of view. Papers can be about theory, experiments, algorithms, numerical simulation and applications. Papers studying the dynamics of stochastic phenomena by means of random or stochastic ordinary, partial or functional differential equations or random mappings are particularly welcome, and so are studies of stochasticity in deterministic systems.