On non-uniqueness of probability solutions to the two-dimensional stationary Fokker-Planck-Kolmogorov equation
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Publication:1709862
DOI10.1134/S1064562418060212zbMath1433.35406MaRDI QIDQ1709862
T. I. Krasovitskii, Vladimir I. Bogachev, Stanislav V. Shaposhnikov
Publication date: 15 January 2019
Published in: Doklady Mathematics (Search for Journal in Brave)
Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) PDEs with randomness, stochastic partial differential equations (35R60) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Fokker-Planck equations (35Q84)
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Kolmogorov Problems on Equations for Stationary and Transition Probabilities of Diffusion Processes, The Kolmogorov problem on uniqueness of probability solutions of a parabolic equation, Degenerate elliptic equations and nonuniqueness of solutions to the Kolmogorov equation, On uniqueness of probability solutions of the Fokker-Planck-Kolmogorov equation
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