Asymptotic stability of a linear Boltzmann-type equation

Roksana Brodnicka, and Henryk Gacki. "Asymptotic stability of a linear Boltzmann-type equation." Applicationes Mathematicae 41.4 (2014): 323-334. <http://eudml.org/doc/279974>.

@article{RoksanaBrodnicka2014,
abstract = {We present a new necessary and sufficient condition for the asymptotic stability of Markov operators acting on the space of signed measures. The proof is based on some special properties of the total variation norm. Our method allows us to consider the Tjon-Wu equation in a linear form. More precisely a new proof of the asymptotic stability of a stationary solution of the Tjon-Wu equation is given.},
author = {Roksana Brodnicka, Henryk Gacki},
journal = {Applicationes Mathematicae},
keywords = {Markov operator; Markov semigroups; Lagrange stability; asymptotic stability; Boltzmann type equation; maximum principle; total variation distance},
language = {eng},
number = {4},
pages = {323-334},
title = {Asymptotic stability of a linear Boltzmann-type equation},
url = {http://eudml.org/doc/279974},
volume = {41},
year = {2014},
}

TY - JOUR
AU - Roksana Brodnicka
AU - Henryk Gacki
TI - Asymptotic stability of a linear Boltzmann-type equation
JO - Applicationes Mathematicae
PY - 2014
VL - 41
IS - 4
SP - 323
EP - 334
AB - We present a new necessary and sufficient condition for the asymptotic stability of Markov operators acting on the space of signed measures. The proof is based on some special properties of the total variation norm. Our method allows us to consider the Tjon-Wu equation in a linear form. More precisely a new proof of the asymptotic stability of a stationary solution of the Tjon-Wu equation is given.
LA - eng
KW - Markov operator; Markov semigroups; Lagrange stability; asymptotic stability; Boltzmann type equation; maximum principle; total variation distance
UR - http://eudml.org/doc/279974
ER -