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ON THE STANDING WAVES FOR THE X-RAY FREE ELECTRON LASER SCHRODINGER EQUATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 41
作者:  Cao, Daomin;  Feng, Binhua;  Luo, Tingjian
收藏  |  浏览/下载：61/0  |  提交时间：2023/02/07
XFEL Schr?dinger equation  nonlinear elliptic equations  normalized solutions  orbital stability  strong instability  
GRADIENT ESTIMATES AND LIOUVILLE THEOREMS FOR LICHNEROWICZ EQUATIONS 期刊论文
PACIFIC JOURNAL OF MATHEMATICS, 2022, 卷号: 317, 期号: 2, 页码: 363-386
作者:  Huang, Pingliang;  Wang, Youde
收藏  |  浏览/下载：36/0  |  提交时间：2023/02/07
gradient estimate  Ricci curvature  Liouville theorem  Harnack inequality  nonlinear elliptic equations  
Nonlinear elliptic equations on the upper half space 期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2022, 卷号: 24, 期号: 01, 页码: 20
作者:  Tang, Sufang;  Wang, Lei;  Zhu, Meijun
收藏  |  浏览/下载：122/0  |  提交时间：2022/04/02
Curvature equation  Kelvin transform  moving plane method  moving sphere method  
Stability of Transonic Contact Discontinuity for Two-Dimensional Steady Compressible Euler Flows in a Finitely Long Nozzle 期刊论文
ANNALS OF PDE, 2021, 卷号: 7, 期号: 2, 页码: 96
作者:  Huang, Feimin;  Kuang, Jie;  Wang, Dehua;  Xiang, Wei
收藏  |  浏览/下载：131/0  |  提交时间：2022/04/02
Transonic flow  Contact discontinuity  Free boundary  Compressible Euler flow  Finitely long nozzle  
Periodic Solutions to Klein-Gordon Systems with Linear Couplings 期刊论文
ADVANCED NONLINEAR STUDIES, 2021, 卷号: 21, 期号: 3, 页码: 633-660
作者:  Chen, Jianyi;  Zhang, Zhitao;  Chang, Guijuan;  Zhao, Jing
收藏  |  浏览/下载：126/0  |  提交时间：2021/10/26
Wave Equation  Variational Method  Klein-Gordon System  Periodic Solutions  
Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrodinger equation with a potential using the PINN deep learning 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 404, 页码: 7
作者:  Wang, Li;  Yan, Zhenya
收藏  |  浏览/下载：125/0  |  提交时间：2021/10/26
Defocusing NLS equation with the  time-dependent potential  Initial-boundary value conditions  Physics-informed neural networks  Deep learning  Data-driven rogue waves and parameter discovery  
Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach 期刊论文
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2021, 卷号: 24, 期号: 2, 页码: 37
作者:  Chen, Shuyan;  Yan, Zhenya;  Guo, Boling
收藏  |  浏览/下载：170/0  |  提交时间：2021/06/01
Focusing Hirota equation  Non-zero boundary conditions  Inverse scattering  Oscillatory Riemann-Hilbert problem  Nonlinear steepest-descent method  Long-time asymptotics  
Yau type gradient estimates for Delta u plus au(log u)(p) + bu=0 on Riemannian manifolds 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 498, 期号: 1, 页码: 24
作者:  Peng, Bo;  Wang, Youde;  Wei, Guodong
收藏  |  浏览/下载：149/0  |  提交时间：2021/04/26
Gradient estimate  Ricci curvature  Nonlinear elliptic equation  
DESINGULARIZATION OF VORTICES FOR TWO-DIMENSIONAL STEADY EULER FLOWS VIA THE VORTICITY METHOD 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2020, 卷号: 52, 期号: 6, 页码: 5363-5388
作者:  Cao, Daomin;  Wang, Guodong;  Zhan, Weicheng
收藏  |  浏览/下载：148/0  |  提交时间：2021/04/26
desingularization of vortices  2D Euler flow  vorticity method  nonlinear stability  
A monotonicity theorem and its applications to weighted elliptic equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 卷号: 62, 期号: 10, 页码: 1925-1934
作者:  Li, Kui;  Zhang, Zhitao
收藏  |  浏览/下载：124/0  |  提交时间：2020/05/24
monotonicity theorem  nonlinear elliptic weighted equation  Liouville-type theorem