Geodesic
Kantorovich–Rubinstein Maximum Principle in the Stability Theory of Markov Semigroups
Henryk Gacki1
1 Henryk Gacki Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 2, pp. 211-222

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A new sufficient condition for the asymptotic stability of a locally Lipschitzian Markov semigroup acting on the space of signed measures ${\scr M}_{\textrm sig}$ is proved. This criterion is applied to the semigroup of Markov operators generated by a Poisson driven stochastic differential equation.
DOI : 10.4064/ba52-2-11
Keywords: sufficient condition asymptotic stability locally lipschitzian markov semigroup acting space signed measures scr textrm sig proved criterion applied semigroup markov operators generated poisson driven stochastic differential equation

Henryk Gacki 1

1 Henryk Gacki Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland 
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Henryk Gacki. Kantorovich–Rubinstein Maximum Principle
 in the Stability Theory of Markov Semigroups. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 2, pp. 211-222. doi: 10.4064/ba52-2-11

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