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中国科学院数学与系统科学研究院机构知识库
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Linearization of nonlinear Fokker-Planck equations and applications
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 1-37
Authors:
Ren, Panpan
;
Roeckner, Michael
;
Wang, Feng-Yu
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View/Download:19/0
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Submit date:2023/02/07
Nonlinear Fokker-Planck equation
McKean-Vlasov stochastic differential equation
Diffusion process
Ergodicity
Feynman-Kac formula
Solutions for nonlinear Fokker-Planck equations with measures as initial data and McKean-Vlasov equations
期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 280, 期号: 7, 页码: 35
Authors:
Barbu, Viorel
;
Roeckner, Michael
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View/Download:102/0
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Submit date:2021/04/26
Fokker-Planck equation
m-accretive
Measure as initial data
McKean-Vlasov stochastic differential equation
Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations
期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2021, 卷号: 57, 期号: 1, 页码: 547-576
Authors:
Rockner, Michael
;
Sun, Xiaobin
;
Xie, Yingchao
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View/Download:99/0
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Submit date:2021/04/26
Averaging principle
McKean-Vlasov stochastic differential equations
Slow-fast
Poisson equation
Strong convergence order
Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs
期刊论文
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2020, 页码: 12
Authors:
Barbu, Viorel
;
Roeckner, Michael
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View/Download:89/0
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Submit date:2021/01/14
Fokker-Planck equation
Mild solution
Distributional solution