Kantorovich-Rubinstein Maximum Principle in the Stability Theory of Markov Semigroups
Henryk Gacki
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004), p. 211-222 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

A new sufficient condition for the asymptotic stability of a locally Lipschitzian Markov semigroup acting on the space of signed measures sig is proved. This criterion is applied to the semigroup of Markov operators generated by a Poisson driven stochastic differential equation.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:280255 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-2-11,
     author = {Henryk Gacki},
     title = {Kantorovich-Rubinstein Maximum Principle in the Stability Theory of Markov Semigroups},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {52},
     year = {2004},
     pages = {211-222},
     zbl = {1107.60031},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-2-11}
}

Henryk Gacki. Kantorovich-Rubinstein Maximum Principle in the Stability Theory of Markov Semigroups. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 211-222. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-2-11/