Large time behaviour for the Fokker-Planck equation with general potential

DOI10.1007/S11425-017-9084-6zbMath1390.35024OpenAlexW2765544023MaRDI QIDQ1705568

Zhifei Zhang, Te Li

Publication date: 16 March 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-017-9084-6

zbMATH Keywords

Fokker-Planck equationlarge time behaviorhypocoercivity method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40)

Related Items (2)

Hypocoercivity and sub-exponential local equilibria ⋮ Gevrey estimates of the resolvent and sub-exponential time-decay for the heat and Schrödinger semigroups

Cites Work

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• Exponential stability of slowly decaying solutions to the kinetic-Fokker-Planck equation
• Short and long time behavior of the Fokker-Planck equation in a confining potential and applications
• The Fokker-Planck equation. Methods of solution and applications.
• Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians
• Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential
• Large-time asymptotics of solutions to the Kramers-Fokker-Planck equation with a short-range potential
• Tunnel effect for Kramers-Fokker-Planck type operators
• Fourier Analysis and Nonlinear Partial Differential Equations
• Semiclassical Analysis for the Kramers–Fokker–Planck Equation
• Weak Poincaré inequalities and \(L^2\)-convergence rates of Markov semigroups

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