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Numerical computation of probabilities for nonlinear SDEs in high dimension using Kolmogorov equation br 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2023, 卷号: 436, 页码: 17
作者:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
收藏  |  浏览/下载：74/0  |  提交时间：2023/02/07
High dimensional Kolmogorov equation  Numerical solution  Iteration scheme  Gaussian process  
ON THE STANDING WAVES FOR THE X-RAY FREE ELECTRON LASER SCHRODINGER EQUATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 41
作者:  Cao, Daomin;  Feng, Binhua;  Luo, Tingjian
收藏  |  浏览/下载：62/0  |  提交时间：2023/02/07
XFEL Schr?dinger equation  nonlinear elliptic equations  normalized solutions  orbital stability  strong instability  
Delayed blow-up by transport noise 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2021, 页码: 32
作者:  Flandoli, Franco;  Galeati, Lucio;  Luo, Dejun
收藏  |  浏览/下载：150/0  |  提交时间：2021/06/01
Dissipation enhancement  Fisher–  KPP equation  Keller–  Segel equation  Kuramoto–  Sivashinsky equation  scaling limit  transport noise  
Gradient estimates for nonlinear diffusion semigroups by coupling methods 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 16
作者:  Song, Yongsheng
收藏  |  浏览/下载：143/0  |  提交时间：2020/05/24
gradient estimates  coupling methods  G-expectation  nonlinear PDEs  
Piecewise linear approximation for the dynamical Phi(4)(3) model 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 卷号: 63, 期号: 2, 页码: 381-410
作者:  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载：147/0  |  提交时间：2020/05/24
regularity structure  space-time white noise  stochastic partial differential equations  renormalization  
Nodal solutions for a supercritical semilinear problem with variable exponent 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2018, 卷号: 57, 期号: 2, 页码: 19
作者:  Cao, Daomin;  Li, Shuanglong;  Liu, Zhongyuan
收藏  |  浏览/下载：161/0  |  提交时间：2018/07/30
Uniqueness of positive bound states with multi-bump for nonlinear Schrodinger equations 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 卷号: 54, 期号: 4, 页码: 4037-4063
作者:  Cao, Daomin;  Li, Shuanglong;  Luo, Peng
收藏  |  浏览/下载：131/0  |  提交时间：2018/07/30
G-expectation weighted Sobolev spaces, backward SDE and path dependent PDE 期刊论文
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2015, 卷号: 67, 期号: 4, 页码: 1725-1757
作者:  Peng, Shige;  Song, Yongsheng
收藏  |  浏览/下载：152/0  |  提交时间：2018/07/30
backward SDEs  partial differential equations  path dependent PDEs  G-expectation  G-martingale  Sobolev space  G-Sobolev space  
EFFECTIVE DYNAMICS OF A COUPLED MICROSCOPIC-MACROSCOPIC STOCHASTIC SYSTEM 期刊论文
ACTA MATHEMATICA SCIENTIA, 2010, 卷号: 30, 期号: 6, 页码: 2064-2076
作者:  Ren Jian;  Fu Hongbo;  Cao Daomin;  Duan Jinqiao
收藏  |  浏览/下载：139/0  |  提交时间：2018/07/30
microscopic-macroscopic system  stochastic partial differential equations  averaging principle  effective dynamics  slow-fast scales  
Semi-Classical Bound States for Schrodinger Equations with Potentials Vanishing or Unbounded at Infinity 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2009, 卷号: 34, 期号: 12, 页码: 1566-1591
作者:  Cao, Daomin;  Peng, Shuangjie
收藏  |  浏览/下载：149/0  |  提交时间：2018/07/30
Bound states  Concentrating solutions  Critical point  Potential vanishing or unbounded at infinity  Variational method