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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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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:27/0
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Submit date:2023/02/07
Nonlinear Fokker-Planck equation
McKean-Vlasov stochastic differential equation
Diffusion process
Ergodicity
Feynman-Kac formula
Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations
期刊论文
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2022, 页码: 39
Authors:
Roeckner, Michael
;
Xie, Longjie
;
Yang, Li
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View/Download:81/0
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Submit date:2022/04/29
Stochastic hyperbolic-parabolic equations
Averaging principle
Strong and weak convergence
Homogenization
The structure of entrance laws for time-inhomogeneous Ornstein-Uhlenbeck processes with Levy noise in Hilbert spaces
期刊论文
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2021, 卷号: 24, 期号: 02, 页码: 23
Authors:
Majid, Narges Rezvani
;
Roeckner, Michael
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View/Download:99/0
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Submit date:2021/10/26
Entrance laws
evolution system of measures
Ornstein Uhlenbeck processes
Levy processes
integral representations
Well-posedness of distribution dependent SDEs with singular drifts
期刊论文
BERNOULLI, 2021, 卷号: 27, 期号: 2, 页码: 1131-1158
Authors:
Roeckner, Michael
;
Zhang, Xicheng
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View/Download:102/0
  |  
Submit date:2021/06/01
Distribution dependent SDEs
Zvonkin's transformation
singular drifts
superposition principle
McKean-Vlasov system
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:109/0
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Submit date:2021/04/26
Fokker-Planck equation
m-accretive
Measure as initial data
McKean-Vlasov stochastic differential equation
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:94/0
  |  
Submit date:2021/01/14
Fokker-Planck equation
Mild solution
Distributional solution
Ornstein-Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities
期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2020, 页码: 31
Authors:
Gordina, Maria
;
Roeckner, Michael
;
Teplyaev, Alexander
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View/Download:109/0
  |  
Submit date:2020/09/23
Ornstein-Uhlenbeck process
Singular perturbation
Nonlinear infinite-dimensional stochastic differential equations
Non-Lipschitz monotone coefficients
Girsanov theorem
Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 268, 期号: 6, 页码: 2910-2948
Authors:
Liu, Wei
;
Roeckner, Michael
;
Sun, Xiaobin
;
Xie, Yingchao
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View/Download:115/0
  |  
Submit date:2020/05/24
Averaging principle
Local Lipschitz
Time-dependent
Strong convergence
Stochastic differential equations
STOCHASTIC HEAT EQUATIONS WITH VALUES IN A MANIFOLD VIA DIRICHLET FORMS
期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2020, 卷号: 52, 期号: 3, 页码: 2237-2274
Authors:
Roeckner, Michael
;
Wu, Bo
;
Zhu, Rongchan
;
Zhu, Xiangchan
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View/Download:143/0
  |  
Submit date:2020/09/23
stochastic heat equation
Ricci curvature
functional inequality
quasi-regular Dirichlet form
Absolutely continuous solutions for continuity equations in Hilbert spaces
期刊论文
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2019, 卷号: 128, 页码: 42-86
Authors:
Da Prato, Giuseppe
;
Flandoli, Franco
;
Roeckner, Michael
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View/Download:143/0
  |  
Submit date:2020/01/10
Continuity equations
Non Gaussian measures
Rank condition