Discrete infinitesimal generator of the Frobenius-Perron operator semigroup associated with 'outflow systems'

Autor:	Koltai, Péter
Rok vydání:	2011
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	In this technical report the $C_0$ semigroup of Frobenius-Perron operators on $L^1(X)$ is considered, where the underlying dynamical system is such that trajectories may leave the state space $X$ and terminate. We introduce a discrete infinitesimal generator and show, that the operator semigroup generated by this discrete generator converges in $L^1(X)$ pointwise to the Frobenius-Perron operator of the system.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1103.0530 Zobrazit plný text záznamu View this record from Arxiv