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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:91/0  |  提交时间:2023/02/07
Semiclassical Schr?dinger equation  Quantum density  Quantum momentum  Controllability  Semiclassical limit  
Global behaviors of weak KAM solutions for exact symplectic twist maps 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 7, 页码: 5730-5753
作者:  Zhang, Jianlu
收藏  |  浏览/下载:156/0  |  提交时间:2020/09/23
Exact syplectic twist map  Aubry Mather theory  Hamilton Jacobi equation  Generalized characteristics  Weak KAM solution  Transition chain  
Existence of solution to parabolic equations with mixed boundary condition on non-cylindrical domains 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 卷号: 265, 期号: 6, 页码: 2648-2670
作者:  Kim, Tujin;  Cao, Daomin
收藏  |  浏览/下载:189/0  |  提交时间:2018/07/30
Parabolic equation  Non-cylindrical domain  Mixed boundary condition  Existence  
Low regularity for the fifth order Kadomtsev-Petviashvili-I type equation 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 卷号: 263, 期号: 9, 页码: 5696-5726
作者:  Guo, Boling;  Huo, Zhaohui;  Fang, Shaomei
收藏  |  浏览/下载:133/0  |  提交时间:2018/07/30
Well-posedness  Fifth order Kadomtsev-Petviashvili-I equation  Dyadic X-s,X-b spaces  
Infinitely many solutions for an elliptic Neumann problem involving critical Sobolev growth 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 卷号: 251, 期号: 6, 页码: 1389-1414
作者:  Cao, Daomin;  Yan, Shusen
收藏  |  浏览/下载:126/0  |  提交时间:2018/07/30
Well-posedness and regularity of Naghdi's shell equation under boundary control and observation 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 卷号: 249, 期号: 12, 页码: 3174-3214
作者:  Chai, Shugen;  Guo, Bao-Zhu
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
Naghdi's shell model  Well-posedness  Regularity  Boundary control and observation  
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:124/0  |  提交时间:2018/07/30
Nonlinear Dirac equation  Semi-classical states  Concentration  
Existence and non-existence of solutions for a class of Monge-Ampere equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 卷号: 246, 期号: 7, 页码: 2849-2875
作者:  Zhang, Zhitao;  Wang, Kelei
收藏  |  浏览/下载:117/0  |  提交时间:2018/07/30
Monge-Ampere equations  Moving plane  Implicit Function Theorem  Leray-Schauder degree theory  Bifurcation  
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:108/0  |  提交时间:2018/07/30
Fifth-order shallow water equations  Fourier restriction norm  Bilinear estimates  Trilinear estimates  Local well-posedness  
On the Fucik spectrum 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 卷号: 244, 期号: 10, 页码: 2498-2528
作者:  Li, Chong;  Li, Shujie;  Liu, Zhaoli;  Pan, Jianzhong
收藏  |  浏览/下载:119/0  |  提交时间:2018/07/30
implicit function theorem  differentiability  Fucik spectrum  Fucik curve  solvability  homotopy index  nodal domain