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On the global approximate controllability in small time of semiclassical 1-D Schrodinger equations between two states with positive quantum densities 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 卷号: 345, 页码: 1-44
作者:  Coron, Jean-Michel;  Xiang, Shengquan;  Zhang, Ping
收藏  |  浏览/下载:85/0  |  提交时间:2023/02/07
Semiclassical Schr?dinger equation  Quantum density  Quantum momentum  Controllability  Semiclassical limit  
Semi-classical ground states concentrating on the nonlinear potential for a Dirac equation 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 卷号: 249, 期号: 5, 页码: 1015-1034
作者:  Ding, Yanheng
收藏  |  浏览/下载:119/0  |  提交时间:2018/07/30
Nonlinear Dirac equation  Semi-classical states  Concentration  
Well-posedness for the fifth-order shallow water equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 卷号: 246, 期号: 6, 页码: 2448-2467
作者:  Jia, Yueling;  Huo, Zhaohui
收藏  |  浏览/下载:103/0  |  提交时间:2018/07/30
Fifth-order shallow water equations  Fourier restriction norm  Bilinear estimates  Trilinear estimates  Local well-posedness  
Existence and uniqueness of multi-bump bound states of nonlinear Schrodinger equations with electromagnetic fields 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 卷号: 222, 期号: 2, 页码: 381-424
作者:  Cao, DM;  Tang, ZW
收藏  |  浏览/下载:126/0  |  提交时间:2018/07/30
existence and uniqueness  multi-bump bound states  nonlinear Schrodinger equation  magnetic fields  
Multi-bump standing waves with a critical frequency for nonlinear Schrodinger equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 卷号: 203, 期号: 2, 页码: 292-312
作者:  Cao, DM;  Noussair, ES
收藏  |  浏览/下载:111/0  |  提交时间:2018/07/30
multi-bump  standing waves  variational method  nonlinear Schrodinger equation  
Existence of solutions for a nonlinear PDE with an inverse square potential 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 卷号: 195, 期号: 2, 页码: 497-519
作者:  Chen, JQ
收藏  |  浏览/下载:88/0  |  提交时间:2018/07/30
critical point theory  inverse square potential  critical Sobolev exponent