Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs (vol 9, pg 702, 2020)

被引：4

作者：

Barbu, Viorel ^{[1
]}

Rockner, Michael ^{[2
,3
]}

机构：

[1] Romanian Acad, Octav Mayer Inst Math, Iasi, Romania

[2] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

[3] Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China

来源：

STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS | 2023年 / 11卷 / 01期

关键词：

Fokker-Planck equation; Mild solution; Distributional solution;

D O I：

10.1007/s40072-021-00223-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A gap in the proof of the main result in the above paper is filled in this work.

引用

页码：426 / 431

页数：6

共 45 条

[11] STOCHASTIC FOKKER-PLANCK EQUATIONS FOR CONDITIONAL MCKEAN-VLASOV JUMP DIFFUSIONS AND APPLICATIONS TO OPTIMAL CONTROL
Agram, Nacira
Oksendal, Bernt
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2023, 61 (03) : 1472 - 1493
[12] Uniqueness for contagious McKean-Vlasov systems in the weak feedback regime
Ledger, Sean
Sojmark, Andreas
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2020, 52 (03) : 448 - 463
[13] EXISTENCE AND UNIQUENESS THEOREMS FOR SOLUTIONS OF MCKEAN-VLASOV STOCHASTIC EQUATIONS
Mishura, Yuliya
Veretennikov, Alexander
THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS, 2020, 103 : 59 - 101
[14] Sticky nonlinear SDEs and convergence of McKean-Vlasov equations without confinement
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Eberle, Andreas
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STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2024, 12 (03): : 1855 - 1906
[15] Existence, uniqueness and exponential ergodicity under Lyapunov conditions for McKean-Vlasov SDEs with Markovian switching
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Ma, Jun
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 337 : 138 - 167
[16] Stability, uniqueness and existence of solutions to McKean-Vlasov SDEs: a multidimensional Yamada-Watanabe approach
Kalinin, Alexander
Meyer-Brandis, Thilo
Proske, Frank
STOCHASTICS AND DYNAMICS, 2024, 24 (05)
[17] McKean-Vlasov Stochastic Partial Differential Equations: Existence, Uniqueness and Propagation of Chaos∗
School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou
221116, China
不详
221116, China
arXiv,
[18] Uniqueness for Solutions of Fokker-Planck Equations on Infinite Dimensional Spaces
Bogachev, Vladimir
Da Prato, Giuseppe
Roeckner, Michael
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2011, 36 (06) : 925 - 939
[19] Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces
Bogachev, Vladimir
Da Prato, Giuseppe
Roeckner, Michael
JOURNAL OF EVOLUTION EQUATIONS, 2010, 10 (03) : 487 - 509
[20] Uniqueness for a class of stochastic Fokker-Planck and porous media equations
Rockner, Michael
Russo, Francesco
JOURNAL OF EVOLUTION EQUATIONS, 2017, 17 (03) : 1049 - 1062

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