论文标题
边界条件的传输方程和扰动
Transport equations and perturbations of boundary conditions
论文作者
论文摘要
我们为抽象的Al空间提供了一种新的扰动定理，该定理将Kato的扰动定理扩展到非定义的运算符。我们展示了如何将其应用于具有抽象边界条件的分段确定性马尔可夫过程和传输方程。我们提供了特定的例子来说明我们的结果。
We provide a new perturbation theorem for substochastic semigroups on abstract AL spaces extending Kato's perturbation theorem to non-densely defined operators. We show how it can be applied to piecewise deterministic Markov processes and transport equations with abstract boundary conditions. We give particular examples to illustrate our results.
