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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:90/0  |  提交时间: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
作者:  Qin, Guoquan;  Yan, Zhenya;  Guo, Boling
收藏  |  浏览/下载:148/0  |  提交时间: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
作者:  Qin, Guoquan;  Yan, Zhenya;  Guo, Boling
收藏  |  浏览/下载:154/0  |  提交时间:2022/04/02
mCH-Novikov-CH equation  Wave breaking  Local well-posedness  Holder continuity  Non-periodic and periodic peakon and multi-peakon solutions  
EULER-LAGRANGIAN APPROACH TO 3D STOCHASTIC EULER EQUATIONS 期刊论文
JOURNAL OF GEOMETRIC MECHANICS, 2019, 卷号: 11, 期号: 2, 页码: 153-165
作者:  Flandoli, Franco;  Luo, Dejun
收藏  |  浏览/下载:202/0  |  提交时间:2020/01/10
Stochastic Euler equations  Euler-Lagrangian formulation  local existence  Holder space  vorticity  
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
作者:  Luo, Dejun;  Wang, Jian
收藏  |  浏览/下载:258/0  |  提交时间:2019/03/05
Stable-like process  non-local operator  Holder continuity  coupling by reflection  jump process  
HOLDER CONTINUOUS SOLUTIONS OF BOUSSINESQ EQUATIONS 期刊论文
ACTA MATHEMATICA SCIENTIA, 2018, 卷号: 38, 期号: 5, 页码: 1591-1616
作者:  Tao, Tao;  Zhang, Liqun
收藏  |  浏览/下载:164/0  |  提交时间:2018/11/16
Boussinesq equations  Holder continuous solutions  prescribed kinetic energy  
Holder continuous solutions of Boussinesq equation with compact support 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2017, 卷号: 272, 期号: 10, 页码: 4334-4402
作者:  Tao, Tao;  Zhang, Liqun
收藏  |  浏览/下载:127/0  |  提交时间:2018/07/30
Boussinesq equations  Holder continuous solution with compact support  
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
作者:  Cui, Jianbo;  Liu, Zhihui;  Miao, Lijun;  Wang, Xu
收藏  |  浏览/下载:121/0  |  提交时间:2018/07/30
Parabolic Anderson equation  Non-Gaussian noise  Holder continuity  
Harnack inequalities for SDEs with multiplicative noise and non-regular drift 期刊论文
STOCHASTICS AND DYNAMICS, 2015, 卷号: 15, 期号: 3, 页码: 18
作者:  Li, Huaiqian;  Luo, Dejun;  Wang, Jian
收藏  |  浏览/下载:176/0  |  提交时间:2018/07/30
Harnack inequality  LPS condition  Holder continuity  Zvonkin transformation  
THE HOLDER CONTINUITY OF A CLASS OF 3-DIMENSION ULTRAPARABOLIC EQUATIONS 期刊论文
ACTA MATHEMATICA SCIENTIA, 2009, 卷号: 29, 期号: 3, 页码: 527-538
作者:  Wang Wendong;  Zhang Liqun
收藏  |  浏览/下载:115/0  |  提交时间:2018/07/30
hypoelliptic  ultraparabolic equations  Holder regularity