Continuous Markov semigroups and stability of transport equations
type: Item
instance of: scholarly article
title: Continuous Markov semigroups and stability of transport equations
zbMATH Open document ID: 0965.47026
author: Katarzyna Pichór
author: Ryszard Rudnicki
published in: Journal of Mathematical Analysis and Applications
publication date: 2001-07-23T00:00:00Z
review text: 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.
reviewed by: Michael Perelmuter
Mathematics Subject Classification ID: 47D07
Mathematics Subject Classification ID: 47G10
zbMATH DE Number: 1533191
zbMATH Keywords: partially integral Markov semigroup
zbMATH Keywords: invariant density
zbMATH Keywords: diffusion and jumping processes
zbMATH Keywords: randomly perturbed dynamical systems
MaRDI profile type: Publication
full work available at URL: jmaa.2000.6968
OpenAlex ID: W2077943267
cites work: Asymptotic properties of Markov operators defined by Volterra type integrals
cites work: Q4344971
cites work: On the stability of the cell size distribution
cites work: Remarks on conservative Markov processes
cites work: Chaos, fractals, and noise: Stochastic aspects of dynamics.
cites work: Randomly flashing diffusion: asymptotic properties.
cites work: Global stability in a delayed partial differential equation describing cellular replication
cites work: An application of Markov operators in differential and integral equations
cites work: Asymptotic stability of a partial differential equation with an integral perturbation
cites work: Stability of Markov semigroups and applications to parabolic systems
cites work: Q4381345
cites work: Q4032063
cites work: Asymptotic behaviour of a transport equation
cites work: Q4864462
DOI: 10.1006/JMAA.2000.6968
Recommended article: Q4381345
Recommended article: Stability of Markov semigroups and applications to parabolic systems
Recommended article: Q4895345
Recommended article: Asymptotic stability for a class of Markov semigroups
Recommended article: Q5488444
Recommended article: Markov integrated semigroups and their applications to continuous-time Markov chains
Recommended article: On strongly continuous Markovian semigroups
Recommended article: Q4720493
Recommended article: Equicontinuous families of Markov operators in view of asymptotic stability
description: scientific article; zbMATH DE number 1533191