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On the dynamics of the roots of polynomials under differentiation

期刊论文

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2022, 卷号: 162, 页码: 1-22
作者:  Alazard, Thomas;  Lazar, Omar;  Nguyen, Quoc Hung
收藏  |  浏览/下载:66/0  |  提交时间:2023/02/07
Transport equations  Nonlocal operators  Well-posedness  Regularity  
A WONG-ZAKAI THEOREM FOR THE STOCHASTIC MASS-CRITICAL NONLINEAR SCHRODINGER EQUATION 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 3, 页码: 3681-3715
作者:  Fan, Chenjie;  Xu, Weijun
收藏  |  浏览/下载:107/0  |  提交时间:2021/10/26
Wong-Zakai  mass-critical  stochastic NLS  
Probabilistic High Order Numerical Schemes for Fully Nonlinear Parabolic PDEs 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2015, 卷号: 18, 期号: 5, 页码: 1482-1503
作者:  Kong, Tao;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载:98/0  |  提交时间:2018/07/30
Fully nonlinear parabolic PDEs  second order FBSDEs  probabilistic interpretations  probabilistic numerical schemes  
Gradient estimates and Liouville theorems for nonlinear parabolic equations on noncompact Riemannian manifolds 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 卷号: 74, 期号: 15, 页码: 5141-5146
作者:  Zhu, Xiaobao
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
Gradient estimates  Nonlinear parabolic equations  Liouville theorems  
On the well-posedness for Keller-Segel system with fractional diffusion 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 卷号: 34, 期号: 14, 页码: 1739-1750
作者:  Wu, Gang;  Zheng, Xiaoxin
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
nonlinear parabolic equations  nonlinear evolution equations  fractional diffusion  Keller-Segel model  Well-posedness  Ill-posedness  
GLOBAL AND BLOW-UP SOLUTIONS FOR NONLINEAR PARABOLIC EQUATIONS WITH A GRADIENT TERM 期刊论文
HOUSTON JOURNAL OF MATHEMATICS, 2011, 卷号: 37, 期号: 4, 页码: 1265-1277
作者:  Ding, Juntang;  Guo, Bao-Zhu
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
Parabolic equation  gradient term  global solution  blow-up solution  
Three-dimensional rogue waves in nonstationary parabolic potentials 期刊论文
PHYSICAL REVIEW E, 2010, 卷号: 82, 期号: 3, 页码: 7
作者:  Yan, Zhenya;  Konotop, V. V.;  Akhmediev, N.
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
Blow-up and global existence for nonlinear parabolic equations with Neumann boundary conditions 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 卷号: 60, 期号: 3, 页码: 670-679
作者:  Ding, Juntang;  Guo, Bao-Zhu
收藏  |  浏览/下载:89/0  |  提交时间:2018/07/30
Parabolic equation  Global solution  Blow-up solution  Neumann boundary condition  
On fixed point theorems of mixed monotone operators and applications 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 卷号: 70, 期号: 9, 页码: 3279-3284
作者:  Zhang, Zhitao;  Wang, Kelei
收藏  |  浏览/下载:82/0  |  提交时间:2018/07/30
Fixed points  Mixed monotone operators  Cone  Partial order  
Solitons in Bose-Einstein condensates with time-dependent atomic scattering length in an expulsive parabolic and complex potential 期刊论文
PHYSICAL REVIEW A, 2008, 卷号: 78, 期号: 2, 页码: 6
作者:  Li, Biao;  Zhang, Xiao-Fei;  Li, Yu-Qi;  Chen, Yong;  Liu, W. M.
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30