On Non-Uniqueness of Probability Solutions to the Two-Dimensional Stationary Fokker–Planck–Kolmogorov Equation
- 作者: Bogachev V.I.1,2,3, Krasovitskii T.I.1, Shaposhnikov S.V.1,2,3
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隶属关系:
- Department of Mechanics and Mathematics
- National Research University Higher School of Economics
- St.-Tikhon’s Orthodox University
- 期: 卷 98, 编号 2 (2018)
- 页面: 475-479
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225561
- DOI: https://doi.org/10.1134/S1064562418060212
- ID: 225561
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详细
The problem of uniqueness of probability solutions to the two-dimensional stationary Fokker–Planck–Kolmogorov equation is considered. Under broad conditions, it is proved that the existence of two different probability solutions implies the existence of an infinite set of linearly independent probability solutions.
作者简介
V. Bogachev
Department of Mechanics and Mathematics; National Research University Higher School of Economics; St.-Tikhon’s Orthodox University
编辑信件的主要联系方式.
Email: vibogach@mail.ru
俄罗斯联邦, Moscow, 119991; Moscow; Moscow
T. Krasovitskii
Department of Mechanics and Mathematics
Email: vibogach@mail.ru
俄罗斯联邦, Moscow, 119991
S. Shaposhnikov
Department of Mechanics and Mathematics; National Research University Higher School of Economics; St.-Tikhon’s Orthodox University
Email: vibogach@mail.ru
俄罗斯联邦, Moscow, 119991; Moscow; Moscow
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