Abstract.
We consider the free streaming operator associated with conservative boundary conditions. It is known that this operator (with its usual domain) admits an extension A which generates a C 0-semigroup \((V_H (t))_{t \geqslant 0} \) in L 1. With techniques borrowed from the additive perturbation theory of substochastic semigroups, we describe precisely its domain and provide necessary and sufficient conditions ensuring \((V_H (t))_{t \geqslant 0} \) to be stochastic. We apply these results to examples from kinetic theory.
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Arlotti, L., Lods, B. Substochastic semigroups for transport equations with conservative boundary conditions. J. evol. equ. 5, 485–508 (2005). https://doi.org/10.1007/s00028-005-0209-8
Issue Date:
DOI: https://doi.org/10.1007/s00028-005-0209-8