The Cauchy Problem on a Generalized Novikov Equation

被引：1
|
作者：
Li, Kunquan [1 ]
Shan, Meijing [2 ]
Xu, Chongbin [1 ]
Guo, Zhengguang [1 ]
机构：
[1] Wenzhou Univ, Coll Math & Informat Sci, Wenzhou 325035, Zhejiang, Peoples R China
[2] East China Univ Polit Sci & Law, Inst Informat Sci & Technol, Shanghai 201620, Peoples R China
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2018年 / 41卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Novikov equation; Compact support; Persistence property; Blow-up; WAVE BREAKING; WEAK SOLUTIONS; BLOW-UP; HOLM;
D O I：
10.1007/s40840-016-0431-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give asymptotic description of strong solutions in its lifespan with compactly supported initial momentum and investigate the persistence property in weighted space and blow-up phenomena for a generalized Novikov equation.
引用
收藏
页码：1859 / 1877
页数：19
相关论文
共 50 条
  • [1] The Cauchy Problem on a Generalized Novikov Equation
    Kunquan Li
    Meijing Shan
    Chongbin Xu
    Zhengguang Guo
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2018, 41 : 1859 - 1877
  • [2] THE CAUCHY PROBLEM FOR A GENERALIZED NOVIKOV EQUATION
    Zheng, Rudong
    Yin, Zhaoyang
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (06) : 3503 - 3519
  • [3] The Cauchy problem for the Novikov equation
    Yan, Wei
    Li, Yongsheng
    Zhang, Yimin
    [J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2013, 20 (03): : 1157 - 1169
  • [4] The Cauchy problem for the Novikov equation
    Himonas, A. Alexandrou
    Holliman, Curtis
    [J]. NONLINEARITY, 2012, 25 (02) : 449 - 479
  • [5] The Cauchy problem for the Novikov equation
    Wei Yan
    Yongsheng Li
    Yimin Zhang
    [J]. Nonlinear Differential Equations and Applications NoDEA, 2013, 20 : 1157 - 1169
  • [6] The global weak solutions to the Cauchy problem of the generalized Novikov equation
    Zhao, Yongye
    Li, Yongsheng
    Yan, Wei
    [J]. APPLICABLE ANALYSIS, 2015, 94 (07) : 1334 - 1354
  • [7] The Cauchy problem for the modified Novikov equation
    Xueping Hou
    Yan Zheng
    [J]. Boundary Value Problems, 2014
  • [8] A note on the Cauchy problem of the Novikov equation
    Wu, Xinglong
    Yin, Zhaoyang
    [J]. APPLICABLE ANALYSIS, 2013, 92 (06) : 1116 - 1137
  • [9] The Cauchy problem for the integrable Novikov equation
    Yan, Wei
    Li, Yongsheng
    Zhang, Yimin
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 253 (01) : 298 - 318
  • [10] The Cauchy problem for the modified Novikov equation
    Hou, Xueping
    Zheng, Yan
    [J]. BOUNDARY VALUE PROBLEMS, 2014, : 1 - 11
12345