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The Fokker-Planck-Kolmogorov equations with a potential and a non-uniformly elliptic diffusion matrix. (English. Russian original) Zbl 1310.35229
Trans. Mosc. Math. Soc. 2013, 15-29 (2013); translation from Tr. Mosk. Mat. O.-va 74, No. 1, 17-34 (2013).
Summary: We study solutions of the Fokker-Planck-Kolmogorov equation with unbounded coefficients and a non-uniformly elliptic diffusion matrix. Upper bounds for solutions are obtained. In addition, new estimates with a Lyapunov function are obtained.

##### MSC:
 35Q84 Fokker-Planck equations 35K10 Second-order parabolic equations 60J60 Diffusion processes
##### Keywords:
Fokker-Planck-Kolmogorov equation; diffusion process
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##### References:
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