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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:83/0  |  提交时间:2023/02/07
Semiclassical Schr?dinger equation  Quantum density  Quantum momentum  Controllability  Semiclassical limit  
Linearization of nonlinear Fokker-Planck equations and applications 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 1-37
作者:  Ren, Panpan;  Roeckner, Michael;  Wang, Feng-Yu
收藏  |  浏览/下载:72/0  |  提交时间:2023/02/07
Nonlinear Fokker-Planck equation  McKean-Vlasov stochastic differential equation  Diffusion process  Ergodicity  Feynman-Kac formula  
Strong convergence rate of splitting schemes for stochastic nonlinear Schrodinger equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 266, 期号: 9, 页码: 5625-5663
作者:  Cui, Jianbo;  Hong, Jialin;  Liu, Zhihui;  Zhou, Weien
收藏  |  浏览/下载:158/0  |  提交时间:2019/03/11
Stochastic nonlinear Schrodinger equation  Strong convergence rate  Exponential integrability  Splitting scheme  Non-monotone coefficients  
On the Cauchy problem of 3-D energy-critical Schrodinger equations with subcritical perturbations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 卷号: 230, 期号: 2, 页码: 422-445
作者:  Zhang, Xiaoyi
收藏  |  浏览/下载:78/0  |  提交时间:2018/07/30
Energy scattering theory for the nonlinear Schrodinger equations with exponential growth in lower spatial dimensions 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 卷号: 228, 期号: 1, 页码: 311-338
作者:  Wang Baoxiang;  Hao Chengchun;  Hudzik, Henryk
收藏  |  浏览/下载:72/0  |  提交时间:2018/07/30
nonlinear Schrodinger equation  exponential growth  energy scattering  separation of localized mass  
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:125/0  |  提交时间:2018/07/30
existence and uniqueness  multi-bump bound states  nonlinear Schrodinger equation  magnetic fields  
Multiple solutions for a class of nonlinear Schrodinger equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 卷号: 207, 期号: 2, 页码: 423-457
作者:  Ding, YH;  Luan, SX
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
Schrodinger equation  multibump solution  critical points  
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:109/0  |  提交时间:2018/07/30
multi-bump  standing waves  variational method  nonlinear Schrodinger equation