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.
@article{MMO_2013_74_1_a1,
author = {S. V. Shaposhnikov},
title = {The {Fokker--Planck--Kolmogorov} equations with a potential and a non-uniformly elliptic diffusion matrix},
journal = {Trudy Moskovskogo matemati\v{c}eskogo ob\^{s}estva},
pages = {17--34},
publisher = {mathdoc},
volume = {74},
number = {1},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MMO_2013_74_1_a1/}
}
TY - JOUR AU - S. V. Shaposhnikov TI - The Fokker--Planck--Kolmogorov equations with a potential and a non-uniformly elliptic diffusion matrix JO - Trudy Moskovskogo matematičeskogo obŝestva PY - 2013 SP - 17 EP - 34 VL - 74 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MMO_2013_74_1_a1/ LA - ru ID - MMO_2013_74_1_a1 ER -
%0 Journal Article %A S. V. Shaposhnikov %T The Fokker--Planck--Kolmogorov equations with a potential and a non-uniformly elliptic diffusion matrix %J Trudy Moskovskogo matematičeskogo obŝestva %D 2013 %P 17-34 %V 74 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/MMO_2013_74_1_a1/ %G ru %F MMO_2013_74_1_a1
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/