On the Cauchy problem for a weakly dissipative μ-Degasperis-Procesi equation

被引：2
|
作者：
Liu, Jingjing [1 ]
Niu, Yuqi [2 ]
Zhang, Dequan [3 ]
机构：
[1] Zhengzhou Univ Light Ind, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China
[2] Xuchang Univ, Sch Math & Stat, Xuchang 461000, Peoples R China
[3] Guilin Univ Aerosp Technol, Fac Sci, Guilin 541004, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
关键词：
a weakly dissipative mu-Degasperis-Procesi equation; blow-up; global existence; strong solutions; weak solutions; INTEGRABLE EQUATION; BLOW-UP; FAMILY;
D O I：
10.1186/1687-1847-2013-350
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the Cauchy problem of a weakly dissipative mu-Degasperis-Procesi equation. We first present several blow-up results of strong solutions to the equation. Then, we give an improved global existence result to the equation. The obtained results for the equation improve considerably the earlier results. Finally, we discuss the global existence and uniqueness of weak solutions to the equation.
引用
收藏
页数：22
相关论文
共 50 条
  • [1] On the Cauchy problem for a weakly dissipative μ-Degasperis-Procesi equation
    Jingjing Liu
    Yuqi Niu
    Dequan Zhang
    [J]. Advances in Difference Equations, 2013
  • [2] ON THE CAUCHY PROBLEM FOR THE DEGASPERIS-PROCESI EQUATION
    Gui, Guilong
    Liu, Yue
    [J]. QUARTERLY OF APPLIED MATHEMATICS, 2011, 69 (03) : 445 - 464
  • [3] On the Cauchy problem for a generalized Degasperis-Procesi equation
    Ye Weikui
    Yin Zhaoyang
    [J]. APPLICABLE ANALYSIS, 2020, 99 (08) : 1300 - 1315
  • [4] The Cauchy problem for the generalized Degasperis-Procesi equation
    Fei Zuo
    Changan Tian
    Hongjun Wang
    [J]. Boundary Value Problems, 2013
  • [5] The Cauchy problem for the generalized Degasperis-Procesi equation
    Zuo, Fei
    Tian, Changan
    Wang, Hongjun
    [J]. BOUNDARY VALUE PROBLEMS, 2013,
  • [6] On the Cauchy problem for a generalized Degasperis-Procesi equation
    Wu, Xinglong
    Yin, Zhaoyang
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (06)
  • [7] On the Cauchy problem for the periodic generalized Degasperis-Procesi equation
    Wu, Xinglong
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2011, 260 (05) : 1428 - 1445
  • [8] Some properties of solutions to the weakly dissipative Degasperis-Procesi equation
    Guo, Zhengguang
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (11) : 4332 - 4344
  • [9] Global weak solutions to the weakly dissipative Degasperis-Procesi equation
    Guo, Yunxi
    Lai, Shaoyong
    Wang, Ying
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (15) : 4961 - 4973
  • [10] The Cauchy Problem for a Dissipative Periodic 2-Component Degasperis-Procesi System
    Ming, Sen
    Yang, Han
    Yong, Ls
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2014,
12345