On the substantiation of a projection method for the stationary Fokker–Planck equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 4, pp. 647-653
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A projection-type condition is discussed that is sufficient for the stationary Fokker–Planck equation $\Delta u-\operatorname{div}(u\mathbf f)=0$ to be solvable within a class of probability density functions. Based on existence theorems and estimates of positive solutions obtained by the author, a fairly large class of vector fields $\mathbf f$ satisfying this condition is proposed.
@article{ZVMMF_2011_51_4_a8,
author = {A. I. Noarov},
title = {On the substantiation of a~projection method for the stationary {Fokker{\textendash}Planck} equation},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {647--653},
publisher = {mathdoc},
volume = {51},
number = {4},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_4_a8/}
}
TY - JOUR AU - A. I. Noarov TI - On the substantiation of a projection method for the stationary Fokker–Planck equation JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2011 SP - 647 EP - 653 VL - 51 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_4_a8/ LA - ru ID - ZVMMF_2011_51_4_a8 ER -
%0 Journal Article %A A. I. Noarov %T On the substantiation of a projection method for the stationary Fokker–Planck equation %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2011 %P 647-653 %V 51 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_4_a8/ %G ru %F ZVMMF_2011_51_4_a8
A. I. Noarov. On the substantiation of a projection method for the stationary Fokker–Planck equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 4, pp. 647-653. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_4_a8/