Continuous Markov semigroups and stability of transport equations (Q1587451)
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scientific article; zbMATH DE number 1533191
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continuous Markov semigroups and stability of transport equations |
scientific article; zbMATH DE number 1533191 |
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Continuous Markov semigroups and stability of transport equations (English)
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23 July 2001
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It is proved that if a partially integral Markov semigroup has only one invariant density \(f_*\) and \(f_*>0\) almost everywhere, then it is asymptotically stable. This result is applied to transport equations connected with diffusion and jumping processes and randomly perturbed dynamical systems.
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partially integral Markov semigroup
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invariant density
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diffusion and jumping processes
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randomly perturbed dynamical systems
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0.9147921
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0.90090406
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0.8962507
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0.89484954
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