On the uniqueness of integrable and probability solutions to the Cauchy problem for the Fokker-Planck-Kolmogorov equations
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Publication:656409
DOI10.1134/S106456241104020XzbMath1235.35274OpenAlexW2076927028MaRDI QIDQ656409
Publication date: 17 January 2012
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s106456241104020x
Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Fokker-Planck equations (35Q84)
Related Items (10)
On the Cauchy problem for Fokker-Planck-Kolmogorov equations with potential terms on arbitrary domains ⋮ On uniqueness of solutions to the Cauchy problem for degenerate Fokker-Planck-Kolmogorov equations ⋮ On the robustness of the integrable trajectories of the control systems with limited control resources ⋮ On the properties of the set of p-integrable trajectories of the control system with limited control resources ⋮ On the \(L^\infty\)-uniqueness of dynamical systems with small random perturbation ⋮ The Kolmogorov problem on uniqueness of probability solutions of a parabolic equation ⋮ On uniqueness problems related to the Fokker-Planck-Kolmogorov equation for measures ⋮ Approximation of the Set of Integrable Trajectories of the Control Systems with Limited Control Resources ⋮ On uniqueness of probability solutions of the Fokker-Planck-Kolmogorov equation ⋮ On the \(p\)-integrable trajectories of the nonlinear control system described by the Urysohn-type integral equation
Cites Work
- Invariant measures of diffusions with gradient drifts
- On probability and integrable solutions to the stationary Kolmogorov equation
- A new topological approach to the \(L^{\infty }\)-uniqueness of operators and the \(L^{1}\)-uniqueness of Fokker--Planck equations
- Weak uniqueness of Fokker-Planck equations with degenerate and bounded coefficients
- Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients
- Uniqueness of solutions of the Cauchy problem for parabolic equations
- ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS
- Existence and Uniqueness of Solutions to Fokker–Planck Type Equations with Irregular Coefficients
- Uniqueness of solutions to weak parabolic equations for measures
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