Analyticity of the Cauchy Problem for a Three-Component Generalization of Camassa-Holm Equation

被引：0
|
作者：
Shi, Cuiyun [1 ]
Bin, Maojun [2 ]
Zhang, Zaiyun [2 ]
机构：
[1] Guilin Univ Technol Nanning, Sch Basic Sci, Nanning 530001, Peoples R China
[2] Yulin Normal Univ, Ctr Appl Math Guangxi, Yulin 537000, Peoples R China
来源：
MATHEMATICS | 2024年 / 12卷 / 07期
关键词：
G3CH equation; analyticity; abstract Cauchy-Kowalevski theorem; GLOBAL CONSERVATIVE SOLUTIONS; KORTEWEG-DEVRIES EQUATION; INITIAL-VALUE PROBLEM; BLOW-UP PHENOMENA; WEAK SOLUTIONS; WELL-POSEDNESS; DISSIPATIVE SOLUTIONS; WAVE-BREAKING; EXISTENCE; UNIQUENESS;
D O I：
10.3390/math12071085
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the Cauchy problem for a three-component generalization of Camassa-Holm equation (G3CH equation henceforth) with analytic initial data. The analyticity of its solutions is proved in both variables, globally in space and locally in time.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] ON A THREE-COMPONENT CAMASSA-HOLM EQUATION WITH PEAKONS
    Mi, Yongsheng
    Mu, Chunlai
    [J]. KINETIC AND RELATED MODELS, 2014, 7 (02) : 305 - 339
  • [2] A three-component generalization of Camassa-Holm equation with N-peakon solutions
    Geng, Xianguo
    Xue, Bo
    [J]. ADVANCES IN MATHEMATICS, 2011, 226 (01) : 827 - 839
  • [3] On the Cauchy problem for the Camassa-Holm equation
    Rodríguez-Blanco, G
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 46 (03) : 309 - 327
  • [4] On the Cauchy problem of the Camassa-Holm equation
    Dai H.-H.
    Kwek K.-H.
    Gao H.-J.
    Qu C.-C.
    [J]. Frontiers of Mathematics in China, 2006, 1 (1) : 144 - 159
  • [5] On a New Three-Component Camassa-Holm Equation with Peakons
    Qu Chang-Zheng
    Fu Ying
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2010, 53 (02) : 223 - 230
  • [6] ON THE CAUCHY PROBLEM OF A THREE-COMPONENT CAMASSA HOLM EQUATIONS
    Wu, Xinglong
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (05) : 2827 - 2854
  • [7] Well-posedness and analyticity for the Cauchy problem for the generalized Camassa-Holm equation
    Mi, Yongsheng
    Mu, Chunlai
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 405 (01) : 173 - 182
  • [8] The Cauchy problem for a generalized Camassa-Holm equation
    Mi, Yongsheng
    Liu, Yue
    Guo, Boling
    Luo, Ting
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 266 (10) : 6739 - 6770
  • [9] On the Cauchy problem for the generalized Camassa-Holm equation
    Mi, Yongsheng
    Mu, Chunlai
    [J]. MONATSHEFTE FUR MATHEMATIK, 2015, 176 (03): : 423 - 457
  • [10] On the Cauchy problem for the generalized Camassa-Holm equation
    Yin, Zhaoyang
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (02) : 460 - 471
12345