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HOLDER CONTINUITY OF SOLUTIONS FOR A CLASS OF DRIFT-DIFFUSION EQUATIONS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 29
Authors:  Nguyen, Quoc-Hung;  Sire, Yannick;  Truong, Le Xuan
Favorite  |  View/Download:77/0  |  Submit date:2023/02/07
Drift-diffusion equations  dissipative SQG  regularity  De Giorgi method  
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
Authors:  Hong, Jialin;  Liu, Zhihui;  Sheng, Derui
Favorite  |  View/Download:81/0  |  Submit date:2023/02/07
Stochastic partial differential equation  Fractional Brownian sheet  Hurst index H < 1/2  Holder exponent  Hitting probability  
A sine-type Camassa-Holm equation: local well-posedness, Holder continuity, and wave-breaking analysis 期刊论文
MONATSHEFTE FUR MATHEMATIK, 2022, 页码: 38
Authors:  Qin, Guoquan;  Yan, Zhenya;  Guo, Boling
Favorite  |  View/Download:134/0  |  Submit date:2022/04/02
Sine-type Camassa-Holm equation  Well-posedness  Holder continuity  Blow-up criterion and quantity  Wave breaking  
The Cauchy Problem and Multi-peakons for the mCH-Novikov-CH Equation with Quadratic and Cubic Nonlinearities 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 60
Authors:  Qin, Guoquan;  Yan, Zhenya;  Guo, Boling
Favorite  |  View/Download:140/0  |  Submit date:2022/04/02
mCH-Novikov-CH equation  Wave breaking  Local well-posedness  Holder continuity  Non-periodic and periodic peakon and multi-peakon solutions  
Absolute continuity and numerical approximation of stochastic Cahn-Hilliard equation with unbounded noise diffusion 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 11, 页码: 10143-10180
Authors:  Cui, Jianbo;  Hong, Jialin
Favorite  |  View/Download:138/0  |  Submit date:2021/01/14
Stochastic Cahn-Hilliard equation  Unbounded noise diffusion  Malliavin calculus  Numerical approximation  Strong convergence rate  
Global behaviors of weak KAM solutions for exact symplectic twist maps 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 7, 页码: 5730-5753
Authors:  Zhang, Jianlu
Favorite  |  View/Download:174/0  |  Submit date:2020/09/23
Exact syplectic twist map  Aubry Mather theory  Hamilton Jacobi equation  Generalized characteristics  Weak KAM solution  Transition chain  
COUPLING BY REFLECTION AND HOLDER REGULARITY FOR NON-LOCAL OPERATORS OF VARIABLE ORDER 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 卷号: 371, 期号: 1, 页码: 431-459
Authors:  Luo, Dejun;  Wang, Jian
Favorite  |  View/Download:233/0  |  Submit date:2019/03/05
Stable-like process  non-local operator  Holder continuity  coupling by reflection  jump process  
Holder continuity for parabolic Anderson equation with non-Gaussian noise 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 卷号: 441, 期号: 2, 页码: 684-691
Authors:  Cui, Jianbo;  Liu, Zhihui;  Miao, Lijun;  Wang, Xu
Favorite  |  View/Download:113/0  |  Submit date:2018/07/30
Parabolic Anderson equation  Non-Gaussian noise  Holder continuity  
SMOOTH CENTER MANIFOLDS FOR RANDOM DYNAMICAL SYSTEMS 期刊论文
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2016, 卷号: 46, 期号: 6, 页码: 1925-1962
Authors:  Guo, Peng;  Shen, Jun
Favorite  |  View/Download:107/0  |  Submit date:2018/07/30
Random dynamical system  smoothness  center-unstable manifolds  center-stable manifolds  center manifolds  
Holder continuity of semigroups for time changed symmetric stable processes 期刊论文
Frontiers of Mathematics in China, 2016, 卷号: 11, 期号: 1, 页码: 109
Authors:  Luo Dejun;  Wang Jian
Favorite  |  View/Download:147/0  |  Submit date:2018/07/30