A probabilistic study of the kinetic Fokker-Planck equation in cylindrical domains

DOI10.1007/s00028-022-00796-5zbMath1489.82060arXiv2010.10157OpenAlexW3093933594MaRDI QIDQ2128641

Julien Reygner, Mouad Ramil, Tony Lelièvre

Publication date: 22 April 2022

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.10157

zbMATH Keywords

maximum principleHarnack inequalitytransition densityLangevin processkinetic Fokker-Planck equationGaussian upper-bound

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Smoothness and regularity of solutions to PDEs (35B65) Maximum principles in context of PDEs (35B50) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fokker-Planck equations (35Q84)

Related Items (2)

Quasi-stationary distribution for the Langevin process in cylindrical domains. II: Overdamped limit ⋮ Recent advances in the long-time analysis of killed degenerate processes and their particle approximation

Cites Work

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