Transport equations and perturbations of boundary conditions

Abstract

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.

References in corpus (3)

• Substochastic semigroups and densities of piecewise deterministic Markov processes
• Positive semigroups and perturbations of boundary conditions
• Densities for piecewise deterministic Markov processes with boundary