Regular Article
Continuous Markov Semigroups and Stability of Transport Equations☆,☆☆

https://doi.org/10.1006/jmaa.2000.6968Get rights and content
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Abstract

A new theorem for asymptotic stability of Markov semigroups is proved. This result is applied to transport equations connected with diffusion and jumping processes and randomly perturbed dynamical systems.

Keywords

Markov semigroup
asymptotic stability
transport equation
Markov process

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This research was supported by the State Committee for Scientific Research (Poland) Grant 2 P03A 010 16 and by the Foundation for Polish Science. Part of this work was done during a visit at the University of Pau. The authors thank French–Polish Integrated Action Programme Polonium for financial support of this visit.

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Submitted by Paul, S. Muhly

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