We study the asymptotic behaviour of the semigroup of Markov operators generated by the equation . We prove that for a > 1 this semigroup is asymptotically stable. We show that for a ≤ 1 this semigroup, properly normalized, converges to a limit which depends only on a.
@article{bwmeta1.element.bwnjournal-article-apmv57z1p45bwm,
author = {Ryszard Rudnicki},
title = {Asymptotic behaviour of a transport equation},
journal = {Annales Polonici Mathematici},
volume = {57},
year = {1992},
pages = {45-55},
zbl = {0758.45009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv57z1p45bwm}
}
Ryszard Rudnicki. Asymptotic behaviour of a transport equation. Annales Polonici Mathematici, Tome 57 (1992) pp. 45-55. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv57z1p45bwm/
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