Email this article Convergence to Stationary Measures in Nonlinear Fokker–Planck–Kolmogorov Equations
- Authors: Bogachev V.I.1,2,3, Röckner M.4, Shaposhnikov S.V.1,2,3
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Affiliations:
- Department of Mechanics and Mathematics
- National Research University Higher School of Economics
- Orthodox S.-Tikhon’s Humanitarian University
- Faculty of Mathematics
- Issue: Vol 98, No 2 (2018)
- Pages: 452-457
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/225556
- DOI: https://doi.org/10.1134/S1064562418060169
- ID: 225556
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Abstract
The convergence of solutions of nonlinear Fokker–Planck–Kolmogorov equations to stationary solutions is studied. Broad sufficient conditions for convergence in variation with an exponential bound are obtained.
About the authors
V. I. Bogachev
Department of Mechanics and Mathematics; National Research University Higher School of Economics; Orthodox S.-Tikhon’s Humanitarian University
Author for correspondence.
Email: vibogach@mail.ru
Russian Federation, Moscow, 119991; Moscow; Moscow
M. Röckner
Faculty of Mathematics
Email: vibogach@mail.ru
Germany, Bielefeld
S. V. Shaposhnikov
Department of Mechanics and Mathematics; National Research University Higher School of Economics; Orthodox S.-Tikhon’s Humanitarian University
Email: vibogach@mail.ru
Russian Federation, Moscow, 119991; Moscow; Moscow
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