论文标题
过渡半群的稳定性和对抛物线方程的应用
Stability of transition semigroups and applications to parabolic equations
论文作者
论文摘要
本文介绍了积极操作员半群在有限函数和签名措施的空间上的长期行为，这些措施与无限系数和随机分析的抛物线方程相吻合。 主要的结果是陶伯里亚型定理，表征了与强烈的半群的平衡的收敛性以及对DOOB经典收敛定理的概括。这些结果都不需要任何形式的时间群的时间规律性。
The paper deals with the long-term behavior of positive operator semigroups on spaces of bounded functions and of signed measures, which have applications to parabolic equations with unbounded coefficients and to stochastic analysis. The main results are a Tauberian type theorem characterizing the convergence to equilibrium of strongly Feller semigroups and a generalization of a classical convergence theorem of Doob. None of these results requires any kind of time regularity of the semigroup.
