GLOBAL WEAK SOLUTION TO THE NONLINEAR SCHRDINGER EQUATIONS WITH DERIVATIVE

被引:0
|
作者
Qiaoxin Li [1 ]
机构
[1] The Graduate School of China Academy of Engineering Physics
关键词
Schrdinger equations; global weak solution; a priori estimates; derivative;
D O I
暂无
中图分类号
O175.29 [非线性偏微分方程];
学科分类号
070104 ;
摘要
In this paper, we study the nonlinear Schr¨odinger equations with derivative. By using the Gal¨erkin method and a priori estimates, we obtain the global existence of the weak solution.
引用
收藏
页码:165 / 174
页数:10
相关论文
共 50 条
  • [41] Choreographies in the discrete nonlinear Schrödinger equations
    Renato Calleja
    Eusebius Doedel
    Carlos García-Azpeitia
    Carlos L. Pando L.
    The European Physical Journal Special Topics, 2018, 227 : 615 - 624
  • [42] On soliton dynamics in nonlinear schrödinger equations
    Zhou Gang
    I. M. Sigal
    Geometric & Functional Analysis GAFA, 2006, 16 : 1377 - 1390
  • [43] Group classification of nonlinear schrödinger equations
    Nikitin A.G.
    Popovych R.O.
    Ukrainian Mathematical Journal, 2001, 53 (8) : 1255 - 1265
  • [44] On weak conditions for a class of sublinear Schrödinger equations
    Farhani, Saida
    Hassine, Abderrazek B.
    Talbi, Taib
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2024, 30 (02):
  • [45] Remarks on scattering for nonlinear Schrödinger equations
    Kenji Nakanishi
    Tohru Ozawa
    Nonlinear Differential Equations and Applications NoDEA, 2002, 9 : 45 - 68
  • [46] Normalized solutions of nonlinear Schrödinger equations
    Thomas Bartsch
    Sébastien de Valeriola
    Archiv der Mathematik, 2013, 100 : 75 - 83
  • [47] Stochastic nonlinear Schrödinger equations on tori
    Kelvin Cheung
    Razvan Mosincat
    Stochastics and Partial Differential Equations: Analysis and Computations, 2019, 7 : 169 - 208
  • [48] Relativistic Burgers and nonlinear SchrÖdinger equations
    O. K. Pashaev
    Theoretical and Mathematical Physics, 2009, 160 : 1022 - 1030
  • [49] Symmetries of separating nonlinear schrödinger equations
    Svetlichny G.
    Journal of Nonlinear Mathematical Physics, 1997, 4 (1-2) : 28 - 35
  • [50] Scattering for Stochastic Nonlinear Schrödinger Equations
    Sebastian Herr
    Michael Röckner
    Deng Zhang
    Communications in Mathematical Physics, 2019, 368 : 843 - 884