Limit behavior of the global solutions to the Degasperis-Procesi-type equation

作者：Guo, Fei^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2011, 74(17): 6004-6011.

DOI：10.1016/j.na.2011.05.077

• Degasperis-Procesi equation
• Linear dispersion
• Global strong solution
• Limit behavior
• Finite propagation speed

In this paper, we study the Degasperis-Procesi equation with a physically perturbation term-a linear dispersion. Based on the global existence result, we show that the solution of the Degasperis-Procesi equation with linear dispersion tends to the solution of the corresponding Degasperis-Procesi equation as the dispersive parameter goes to zero. Moreover, we prove that smooth solutions of the equation have finite propagation speed: they will have compact support if its initial data has this property.

• 出版日期2011-12
• 单位南京师范大学