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Optimal Holder continuity and hitting probabilities for SPDEs with rough fractional noises 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 512, 期号: 1, 页码: 21
作者:  Hong, Jialin;  Liu, Zhihui;  Sheng, Derui
收藏  |  浏览/下载：58/0  |  提交时间：2023/02/07
Stochastic partial differential equation  Fractional Brownian sheet  Hurst index H < 1/2  Holder exponent  Hitting probability  
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
作者:  Roeckner, Michael;  Xie, Longjie;  Yang, Li
收藏  |  浏览/下载：112/0  |  提交时间：2022/04/29
Stochastic hyperbolic-parabolic equations  Averaging principle  Strong and weak convergence  Homogenization  
Local weak solution of the isentropic compressible Navier-Stokes equations 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2021, 卷号: 62, 期号: 11, 页码: 8
作者:  Huang, Xiangdi;  Yan, Wei
收藏  |  浏览/下载：72/0  |  提交时间：2022/04/02
Weak convergence and invariant measure of a full discretization for parabolic SPDEs with non-globally Lipschitz coefficients 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021, 卷号: 134, 页码: 55-93
作者:  Cui, Jianbo;  Hong, Jialin;  Sun, Liying
收藏  |  浏览/下载：122/0  |  提交时间：2021/10/26
Weak convergence  Invariant measure  Kolmogorov equation  Malliavin calculus  
Some interior regularity estimates for solutions of complex Monge-Ampere equations on a ball 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021, 卷号: 60, 期号: 1, 页码: 17
作者:  Li, Chao;  Li, Jiayu;  Zhang, Xi
收藏  |  浏览/下载：120/0  |  提交时间：2021/04/26
A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 159, 页码: 159-173
作者:  Huang, Jianfei;  Zhang, Jingna;  Arshad, Sadia;  Tang, Yifa
收藏  |  浏览/下载：193/0  |  提交时间：2021/01/14
Multi-term time-space derivatives  Fractional nonlinear diffusion-wave equations  Finite difference schemes  Stability  Convergence  Fast ADI scheme  
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：144/0  |  提交时间：2020/05/24
regularity structure  space-time white noise  stochastic partial differential equations  renormalization  
C-1,C-1 regularity of geodesics in the space of volume forms 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2019, 卷号: 58, 期号: 6, 页码: 7
作者:  Chu, Jianchun
收藏  |  浏览/下载：125/0  |  提交时间：2020/05/24
Convolution Quadrature Methods for Time-Space Fractional Nonlinear Diffusion-Wave Equations 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2019, 卷号: 9, 期号: 3, 页码: 538-557
作者:  Huang, Jianfei;  Arshad, Sadia;  Jiao, Yandong;  Tang, Yifa
收藏  |  浏览/下载：163/0  |  提交时间：2020/01/10
Fractional diffusion-wave equation  nonlinear source  convolution quadrature  generating function  stability and convergence  
STRONG AND WEAK CONVERGENCE RATES OF A SPATIAL APPROXIMATION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATION WITH ONE-SIDED LIPSCHITZ COEFFICIENT 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 4, 页码: 1815-1841
作者:  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：164/0  |  提交时间：2020/01/10
one-sided Lipschitz coefficient  stochastic Allen-Cahn equation  finite element method  strong and weak convergence rate  Kolmogorov equation  Malliavin calculus