Transport equations and perturbations of boundary conditions
Functional Analysis
2020-12-01 v2 Analysis of PDEs
Probability
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.
Keywords
Cite
@article{arxiv.2006.01560,
title = {Transport equations and perturbations of boundary conditions},
author = {Marta Tyran-Kamińska},
journal= {arXiv preprint arXiv:2006.01560},
year = {2020}
}