Steady states of Fokker-Planck equations. II: Non-existence

DOI10.1007/s10884-015-9470-xzbMath1339.35323OpenAlexW2511886625MaRDI QIDQ282365

Zhenxin Liu, Wen Huang, Yingfei Yi, Min Ji

Publication date: 12 May 2016

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-015-9470-x

zbMATH Keywords

Fokker-Planck equationnon-existencelevel set methodstationary solutionstationary measure

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Smoothness and regularity of solutions to PDEs (35B65) Stability of topological dynamical systems (37B25) Diffusion processes (60J60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Bifurcation theory for random and stochastic dynamical systems (37H20) Fokker-Planck equations (35Q84)

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Cites Work

• Steady states of Fokker-Planck equations. I: Existence
• On polynomial mixing bounds for stochastic differential equations
• On positive and probability solutions to the stationary Fokker-Planck-Kolmogorov equation
• Integral identity and measure estimates for stationary Fokker-Planck equations
• On Polynomial Mixing and Convergence Rate for Stochastic Difference and Differential Equations
• ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS
• Ergodic Control of Diffusion Processes
• Elliptic and parabolic equations for measures
• Bounds for the Mixing Rate in the Theory of Stochastic Equations
• On uniqueness of invariant measures for finite- and infinite-dimensional diffusions
• A Generalization of Khasminskii's Theorem on the Existence of Invariant Measures for Locally Integrable Drifts
• Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions
• On Parabolic Equations for Measures
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