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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:146/0  |  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:151/0  |  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  
On the regularity of the maximal function of a BV function 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 300, 页码: 53-79
作者:  Lahti, Panu
收藏  |  浏览/下载:125/0  |  提交时间:2022/04/02
Function of bounded variation  Sobolev function  Non-centered maximal function  Quasicontinuity  Absolute continuity  
The continuity equation of almost Hermitian metrics 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 274, 页码: 1015-1036
作者:  Li, Chang;  Zheng, Tao
收藏  |  浏览/下载:150/0  |  提交时间:2021/04/26
Continuity equation  Almost Hermitian metric  Maximal time existence  Chern-Ricci form  Chern scalar curvature  
SHARP REGULARITY ESTIMATES FOR SOLUTIONS OF THE CONTINUITY EQUATION DRIFTED BY SOBOLEV VECTOR FIELDS 期刊论文
ANALYSIS & PDE, 2021, 卷号: 14, 期号: 8, 页码: 2539-2559
作者:  Brue, Elia;  Quoc-Hung Nguyen
收藏  |  浏览/下载:152/0  |  提交时间:2022/04/02
ordinary differential equations with nonsmooth vector fields  continuity equation  transport equation  regular Lagrangian flow  BV function  log-Sobolev space  Bressan's mixing conjecture  
Regularization by Noise for the Point Vortex Model of mSQG Equations 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2020, 页码: 15
作者:  Luo, De Jun;  Saal, Martin
收藏  |  浏览/下载:195/0  |  提交时间:2020/05/24
Point vortices  modified Surface Quasi-Geostrophic equations  space-dependent noise  absolute continuity  
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
作者:  Da Prato, Giuseppe;  Flandoli, Franco;  Roeckner, Michael
收藏  |  浏览/下载:211/0  |  提交时间:2020/01/10
Continuity equations  Non Gaussian measures  Rank condition  
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:257/0  |  提交时间:2019/03/05
Stable-like process  non-local operator  Holder continuity  coupling by reflection  jump process  
Stochastic Volterra integral equations with a parameter 期刊论文
Advances in Difference Equations, 2017, 卷号: 2017, 期号: 1
作者:  Wang,Yanqing
收藏  |  浏览/下载:151/0  |  提交时间:2018/07/30
stochastic Volterra integral equation  backward stochastic Volterra integral equation  parameter  continuity  differentiability  60H20  65C30  
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:120/0  |  提交时间:2018/07/30
Parabolic Anderson equation  Non-Gaussian noise  Holder continuity