论文标题
与政权转换的一类SPDE的定期措施
Periodic measures for a class of SPDEs with regime-switching
论文作者
论文摘要
我们使用各种方法来研究具有政权转换的一类SPDE的定期措施。混合动力系统由退化的Lévy噪声驱动。我们使用Lyapunov函数方法来研究周期性措施的存在，并通过建立强大的偶性特性和相关时间固定的半群的不可约性来显示周期性措施的独特性。主要结果应用于具有制度转换的随机多孔介质方程。
We use the variational approach to investigate periodic measures for a class of SPDEs with regime-switching. The hybrid system is driven by degenerate Lévy 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.
