Some recent results about nonnegative solutions of stochastic porous media equations in bounded open subsets of are considered. The existence of an invariant measure is proved.
@article{BUMI_2008_9_1_1_1_0,
author = {Viorel Barbu and Giuseppe Da Prato and Michael R\"ockner},
title = {Some Results on Stochastic Porous Media Equations},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {1},
year = {2008},
pages = {1-15},
zbl = {1205.60109},
mrnumber = {2387994},
language = {en},
url = {http://dml.mathdoc.fr/item/BUMI_2008_9_1_1_1_0}
}
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael. Some Results on Stochastic Porous Media Equations. Bollettino dell'Unione Matematica Italiana, Tome 1 (2008) pp. 1-15. http://gdmltest.u-ga.fr/item/BUMI_2008_9_1_1_1_0/
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