Long-time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space

被引:138
|
作者
Deift, P
Zhou, X
机构
[1] NYU, Courant Inst, New York, NY 10012 USA
[2] Duke Univ, Dept Math, Durham, NC 27708 USA
关键词
D O I
10.1002/cpa.3034
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:1029 / 1077
页数:49
相关论文
共 50 条
  • [21] LONG-TIME ASYMPTOTICS OF THE TODA LATTICE FOR DECAYING INITIAL DATA REVISITED
    Krueger, Helge
    Teschl, Gerald
    REVIEWS IN MATHEMATICAL PHYSICS, 2009, 21 (01) : 61 - 109
  • [22] Long-time asymptotics for the Korteweg-de Vries equation with step-like initial data
    Egorova, Iryna
    Gladka, Zoya
    Kotlyarov, Volodymyr
    Teschl, Gerald
    NONLINEARITY, 2013, 26 (07) : 1839 - 1864
  • [23] Long-Time Asymptotics for the Focusing NLS Equation with Time-Periodic Boundary Condition on the Half-Line
    Anne Boutet de Monvel
    Alexander Its
    Vladimir Kotlyarov
    Communications in Mathematical Physics, 2009, 290 : 479 - 522
  • [24] Spectral analysis and long-time asymptotics for the Harry Dym-type equation with the Schwartz initial data
    Liu, Wenhao
    Geng, Xianguo
    Wang, Kedong
    Chen, Mingming
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 357 : 181 - 235
  • [25] Long-Time Asymptotics for the Nonlocal MKdV Equation
    He, Feng-Jing
    Fan, En-Gui
    Xu, Jian
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2019, 71 (05) : 475 - 488
  • [26] Long-Time Asymptotics for the Nonlocal MKdV Equation
    何丰敬
    范恩贵
    徐建
    Communications in Theoretical Physics, 2019, 71 (05) : 475 - 488
  • [27] Long-time asymptotics for the short pulse equation
    Xu, Jian
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 265 (08) : 3494 - 3532
  • [28] THE "GOOD" BOUSSINESQ EQUATION: LONG-TIME ASYMPTOTICS
    Charlier, Christophe
    Lenells, Jonatan
    Wang, Deng-Shan
    ANALYSIS & PDE, 2023, 16 (06): : 1351 - 1388
  • [29] Long-time Asymptotics for the Reverse Space-time Nonlocal Hirota Equation with Decaying Initial Value Problem: without Solitons
    Peng, Wei-qi
    Chen, Yong
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2024, 40 (03): : 708 - 727
  • [30] Long-time Asymptotics for the Reverse Space-time Nonlocal Hirota Equation with Decaying Initial Value Problem: without Solitons
    Wei-qi PENG
    Yong CHEN
    Acta Mathematicae Applicatae Sinica, 2024, 40 (03) : 708 - 727