Well-posedness and blow-up phenomena for the generalized Degasperis-Procesi equation

作者：Wu, Xinglong^*; Yin, Zhaoyang

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 73(1): 136-146.

DOI：10.1016/j.na.2010.03.006

• The generalized Degasperis-Procesi equation
• Well-posedness
• Blow-up scenario
• Blow-up phenomena
• Equilibrium point

In this paper,we mainly study the Cauchy problem of the generalized Degasperis-Procesi equation.We establish the local well-posedness and give the precise blow-up scenario for the equation.Then we show that the equation has smooth solutions which blow up infinite time.

• 出版日期2010-7-1
• 单位中山大学