Blow-up criteria for the generalized Degasperis-Procesi equation

被引：2
|
作者：
Deng, Xijun [1 ]
机构：
[1] Hunan Univ Arts & Sci, Dept Math & Phys, Changde, Peoples R China
来源：
APPLICABLE ANALYSIS | 2022年 / 101卷 / 13期
关键词：
Generalized Degasperis– Procesi equation; blow-up; local well-posedness; local-in-space;
D O I：
10.1080/00036811.2020.1863377
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the initial value problem of the generalized Degasperis-Procesi equation. We establish some new local-in-space blow-up criterion. Our results extend the corresponding results in the previous literature.
引用
收藏
页码：4639 / 4649
页数：11
相关论文
共 50 条
  • [21] The Cauchy problem for the generalized Degasperis-Procesi equation
    Zuo, Fei
    Tian, Changan
    Wang, Hongjun
    [J]. BOUNDARY VALUE PROBLEMS, 2013,
  • [22] On the Cauchy problem for a generalized Degasperis-Procesi equation
    Wu, Xinglong
    Yin, Zhaoyang
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (06)
  • [23] New blow-up criterion for the Degasperis–Procesi equation with weak dissipation
    Xijun Deng
    [J]. Analysis and Mathematical Physics, 2021, 11
  • [24] On solutions to the Degasperis-Procesi equation
    Chen, Wenying
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 379 (01) : 351 - 359
  • [25] On the Cauchy problem for the periodic generalized Degasperis-Procesi equation
    Wu, Xinglong
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2011, 260 (05) : 1428 - 1445
  • [26] The entropy weak solution to a generalized Degasperis-Procesi equation
    Lai S.
    Li N.
    Fan S.
    [J]. Journal of Inequalities and Applications, 2013 (1)
  • [27] On the τ-functions of the Degasperis-Procesi equation
    Feng, Bao-Feng
    Maruno, Ken-ichi
    Ohta, Yasuhiro
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2013, 46 (04)
  • [28] A note on the Degasperis-Procesi equation
    Mustafa, OG
    [J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2005, 12 (01) : 10 - 14
  • [29] New solutions for the modified generalized Degasperis-Procesi equation
    Salas, Alvaro H.
    Gomez S, Cesar A.
    Castillo H, Jairo E.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (07) : 2608 - 2615
  • [30] A Note on the Degasperis-Procesi Equation
    Octavian G Mustafa
    [J]. Journal of Nonlinear Mathematical Physics, 2005, 12 : 10 - 14
12345