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Generalized linking theorem with applications to nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold 期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2021, 卷号: 23, 期号: 06, 页码: 25
作者:  Liu, Yanyan;  Li, Chong;  Li, Shujie
收藏  |  浏览/下载:169/0  |  提交时间:2021/10/26
Strongly indefinite superlinear problem  prescribed number of nontrivial solutions  nonautonomous Hamiltonian systems  Dirac equations on compact spin manifold  
POTENTIAL WELL AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR DIRAC EQUATIONS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 卷号: 19, 期号: 1, 页码: 587-607
作者:  Chen, Yu;  Ding, Yanheng;  Xu, Tian
收藏  |  浏览/下载:237/0  |  提交时间:2020/01/10
Dirac equations  semi-classical states  multiplicity  
Uniqueness of weak solution for Chern-Simons-Dirac equations in R1+1 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 卷号: 452, 期号: 2, 页码: 1298-1309
作者:  Kuang, Jie;  Zhang, Chi;  Zhang, Yongqian
收藏  |  浏览/下载:136/0  |  提交时间:2018/07/30
Chern-Simons-Dirac equations  Uniqueness  Weak solution  Holmgren's method  
Matrix-differential-operator approach to the Maxwell equations and the Dirac equation 期刊论文
ACTA APPLICANDAE MATHEMATICAE, 2008, 卷号: 102, 期号: 2-3, 页码: 237-247
作者:  Xu, Xiaoping
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
matrix-differential-operators  Fourier expansion  Maxwell equations  free Dirac equation  initial-value problem  
Solutions of nonlinear Dirac equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 卷号: 226, 期号: 1, 页码: 210-249
作者:  Bartsch, Thomas;  Ding, Yanheng
收藏  |  浏览/下载:124/0  |  提交时间:2018/07/30
nonlinear Dirac equations  variational methods  strongly indefinite functionals  
Multi-symplectic Runge-Kutta methods for nonlinear dirac equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 卷号: 211, 期号: 2, 页码: 448-472
作者:  Hong, JL;  Li, C
收藏  |  浏览/下载:108/0  |  提交时间:2018/07/30
multi-symplectic Runge-Kutta methods  conservation laws  nonlinear dirac equations  
The Riemann problem for the transportation equations in gas dynamics 期刊论文
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 卷号: 137, 期号: 654, 页码: 1-+
作者:  Sheng, WC;  Zhang, T
收藏  |  浏览/下载:139/0  |  提交时间:2018/07/30
1-D and 2-D Riemann problems  Euler equations  transportation equations  gas dynamics  Dirac delta wave  Slip line  vacuum  viscous vanishing  
Explicit construction of measure solutions of Cauchy problem for transportation equations 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1997, 卷号: 40, 期号: 12, 页码: 1287-1299
作者:  Cheng, SZ;  Li, JQ;  Zhang, T
收藏  |  浏览/下载:139/0  |  提交时间:2018/07/30
transportation equations  Cauchy problem  measure solution  convex hull  Dirac delta-shocks