Global existence and asymptotic behaviour of solutions for the generalized Boussinesq equation

作者：Wang, Yu Zhu^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2009, 70(1): 465-482.

DOI：10.1016/j.na.2007.12.018

• The generalized Boussinesq equation
• Local solution
• Global solution
• Asymptotic behaviour of solution

In this paper, we prove the existence and the uniqueness of global solution for the Cauchy problem for the generalized Boussinesq equation. Under some assumptions, we also show that the LOO norm of small solution of the Cauchy problem for the generalized Boussinesq equation decays to zero as t tends to the infinity.

• 出版日期2009-1-1
• 单位上海交通大学