We define the Foiaş solutions of the transport equation and we prove that the strong asymptotic stability of the Foiaş solutions is equivalent to the asymptotic stability of the solutions of the transport equation in L¹.
@article{bwmeta1.element.bwnjournal-article-apmv57z2p193bwm,
author = {Jan Malczak},
title = {On the strong convergence to equilibrium of the Foia\c s solutions of the transport equation},
journal = {Annales Polonici Mathematici},
volume = {57},
year = {1992},
pages = {193-203},
zbl = {0766.45007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv57z2p193bwm}
}
Jan Malczak. On the strong convergence to equilibrium of the Foiaş solutions of the transport equation. Annales Polonici Mathematici, Tome 57 (1992) pp. 193-203. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv57z2p193bwm/
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