On the Cauchy problem for a generalized Degasperis-Procesi equation

被引：1
|
作者：
Ye Weikui [1 ]
Yin Zhaoyang [1 ,2 ]
机构：
[1] Sun Yat Sen Univ, Dept Math, Guangzhou, Peoples R China
[2] Macau Univ Sci & Technol, Fac Informat Technol, Macau, Peoples R China
来源：
APPLICABLE ANALYSIS | 2020年 / 99卷 / 08期
关键词：
Adrian Constantin; A generalized Degasperis-Procesi equation; local well-posedness; global existence; bseov spaces; blow-up; SHALLOW-WATER EQUATION; GLOBAL WEAK SOLUTIONS; BLOW-UP PHENOMENA; WELL-POSEDNESS; INTEGRABLE EQUATION; PARTICLE TRAJECTORIES; WAVE SOLUTIONS; SHOCK-WAVES; EXISTENCE; BREAKING;
D O I：
10.1080/00036811.2018.1529306
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We first establish the local well-posedness for a generalized Degasperis-Procesi equation in nonhomogeneous Besov spaces. Then we present a global existence result for the equation. Moreover, we obtain a blow-up criteria and provide a sufficient condition for strong solutions to blow up in finite time.
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页码：1300 / 1315
页数：16
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