Convergence to stationary measures in nonlinear Fokker-Planck-Kolmogorov equations

DOI10.1134/S1064562418060169zbMath1414.35227OpenAlexW2899705728MaRDI QIDQ1709853

Michael Roeckner, Vladimir I. Bogachev, Stanislav V. Shaposhnikov

Publication date: 15 January 2019

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418060169

zbMATH Keywords

perturbation theoryFokker-Planck equationnon-linear drift

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Perturbations in context of PDEs (35B20) Fokker-Planck equations (35Q84)

Cites Work

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• Distribution dependent SDEs for Landau type equations
• Convergence to equilibrium in Wasserstein distance for Fokker-Planck equations
• The Kantorovich and variation distances between invariant measures of diffusions and nonlinear stationary Fokker-Planck-Kolmogorov equations
• Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré
• Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations
• Yet Another Look at Harris’ Ergodic Theorem for Markov Chains
• Fokker–Planck–Kolmogorov Equations
• On Ergodic Properties of Nonlinear Markov Chains and Stochastic McKean--Vlasov Equations

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