On Non-Uniqueness of Probability Solutions to the Two-Dimensional Stationary Fokker–Planck–Kolmogorov Equation
- Авторлар: Bogachev V.I.1,2,3, Krasovitskii T.I.1, Shaposhnikov S.V.1,2,3
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Мекемелер:
- Department of Mechanics and Mathematics
- National Research University Higher School of Economics
- St.-Tikhon’s Orthodox University
- Шығарылым: Том 98, № 2 (2018)
- Беттер: 475-479
- Бөлім: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225561
- DOI: https://doi.org/10.1134/S1064562418060212
- ID: 225561
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
V. Bogachev
Department of Mechanics and Mathematics; National Research University Higher School of Economics; St.-Tikhon’s Orthodox University
Хат алмасуға жауапты Автор.
Email: vibogach@mail.ru
Ресей, Moscow, 119991; Moscow; Moscow
T. Krasovitskii
Department of Mechanics and Mathematics
Email: vibogach@mail.ru
Ресей, 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
Ресей, Moscow, 119991; Moscow; Moscow
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