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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  
The Rotation Number for Almost Periodic Schrodinger Operators with delta-Potentials 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2021, 页码: 23
作者:  Damanik, David;  Zhou, Zhe
收藏  |  浏览/下载：58/0  |  提交时间：2021/10/26
Standing waves with prescribed mass for the Schrodinger equations with van der Waals type potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 276, 页码: 228-263
作者:  Cao, Daomin;  Jia, Huifang;  Luo, Xiao
收藏  |  浏览/下载：167/0  |  提交时间：2021/04/26
Schrodinger equation  vander Waals type potentials  Normalized solutions  Stability  Variational methods  
CRITICALITY AND SUBCRITICALITY OF GENERALIZED SCHRODINGER FORMS WITH NON-LOCAL PERTURBATIONS 期刊论文
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 卷号: 145, 期号: 9, 页码: 3929-3939
作者:  Li, Liping
收藏  |  浏览/下载：134/0  |  提交时间：2018/07/30
A Probabilistic Proof of the Fundamental Gap Conjecture Via the Coupling by Reflection 期刊论文
POTENTIAL ANALYSIS, 2016, 卷号: 44, 期号: 3, 页码: 423-442
作者:  Gong, Fuzhou;  Li, Huaiqian;  Luo, Dejun
收藏  |  浏览/下载：164/0  |  提交时间：2018/07/30
Schrodinger operator  Spectral gap  Ground state  Coupling by reflection  Logarithmic Sobolev inequality  
Uniqueness of positive bound states with multi-bump for nonlinear Schrodinger equations 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 卷号: 54, 期号: 4, 页码: 4037-4063
作者:  Cao, Daomin;  Li, Shuanglong;  Luo, Peng
收藏  |  浏览/下载：131/0  |  提交时间：2018/07/30
The rotation number of the linear Schrodinger equation with discontinuous almost periodic potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 卷号: 259, 期号: 8, 页码: 4202-4228
作者:  Zhou, Zhe
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
Stepanov almost periodic function  Rotation number  Discrete hull  Ergodic theorem  Stepanov norm  
MACROSCOPIC QUANTUM MECHANICS AND SINGLE-PHOTON MICHELSON INTERFEROMETRY 期刊论文
INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2011, 卷号: 20, 期号: 10, 页码: 2093-2098
作者:  Yang, Ran;  Gong, Xuefei;  Pei, Shouyong;  Luo, Ziren;  Lau, Y. K.
收藏  |  浏览/下载：153/0  |  提交时间：2018/07/30
Michelson interferometry  macroscopic quantum mechanics  
Uniform ergodic theorems for discontinuous skew-product flows and applications to Schrodinger equations 期刊论文
NONLINEARITY, 2011, 卷号: 24, 期号: 5, 页码: 1539-1564
作者:  Zhang, Meirong;  Zhou, Zhe
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
Inhomogeneous critical nonlinear Schrodinger equations with a harmonic potential 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2010, 卷号: 51, 期号: 4, 页码: 24
作者:  Cao, Daomin;  Han, Pigong
收藏  |  浏览/下载：137/0  |  提交时间：2018/07/30