The Fokker--Planck--Kolmogorov equations with a potential and a non-uniformly elliptic diffusion matrix
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 74 (2013) no. 1, pp. 17-34

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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.
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     title = {The {Fokker--Planck--Kolmogorov} equations with a potential and a non-uniformly elliptic diffusion matrix},
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S. V. Shaposhnikov. The Fokker--Planck--Kolmogorov equations with a potential and a non-uniformly elliptic diffusion matrix. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 74 (2013) no. 1, pp. 17-34. http://geodesic.mathdoc.fr/item/MMO_2013_74_1_a1/