The global solution and blow-up phenomena to a modified Novikov equation

被引：4
|
作者：
Lai, Shaoyong [1 ]
Yan, Haibo [1 ]
Li, Nan [1 ]
机构：
[1] Southwestern Univ Finance & Econ, Dept Appl Math, Chengdu 610074, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2014年
关键词：
global existence; strong solutions; blow-up result; CAUCHY-PROBLEM; WELL-POSEDNESS; WEAK SOLUTIONS; EXISTENCE;
D O I：
10.1186/1687-2770-2014-16
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A modified Novikov equation with symmetric coefficients is investigated. Provided that the initial value u(0) is an element of H-s(R) (s > 3/2), (1 - partial derivative(2)(X))u(0) does not change sign and the solution u itself belongs to L-1(R), the existence and uniqueness of the global strong solutions to the equation are established in the space C([0, infinity); H-s(R)) boolean AND C-1([0, infinity); Hs-1(R)). A blow-up result to the development of singularities in finite time for the equation is acquired.
引用
收藏
页数：9
相关论文
共 50 条
  • [1] The global solution and blow-up phenomena to a modified Novikov equation
    Shaoyong Lai
    Haibo Yan
    Nan Li
    Boundary Value Problems, 2014
  • [2] Global existence and blow-up phenomena for the weakly dissipative Novikov equation
    Yan, Wei
    Li, Yongsheng
    Zhang, Yimin
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) : 2464 - 2473
  • [3] Blow-Up Criteria for the Modified Novikov Equation
    Ma, Caochuan
    Lv, Wujun
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [4] Blow-up of the weakly dissipative Novikov equation
    Ma, Caochuan
    Jin, Yanyi
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [5] Blow-up of the weakly dissipative Novikov equation
    Caochuan Ma
    Yanyi Jin
    Journal of Inequalities and Applications, 2014
  • [6] Blow-up phenomenon for the integrable Novikov equation
    Jiang, Zaihong
    Ni, Lidiao
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 385 (01) : 551 - 558
  • [7] Global existence and blow-up phenomena for a nonlinear wave equation
    Hao, Jianghao
    Zhang, Yajing
    Li, Shengjia
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) : 4823 - 4832
  • [8] Global solutions and blow-up phenomena to a shallow water equation
    Lai, Shaoyong
    Wu, Yonghong
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 249 (03) : 693 - 706
  • [9] Blow-up phenomena for the Yamabe equation
    Brendle, Simon
    JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 21 (04) : 951 - 979
  • [10] Global existence and blow-up phenomena for a periodic modified Camassa-Holm equation (MOCH)
    Luo, Zhaonan
    Qiao, Zhijun
    Yin, Zhaoyang
    APPLICABLE ANALYSIS, 2022, 101 (09) : 3432 - 3444
12345