Title of article :
On the Cauchy problem for a generalized Boussinesq equation
Author/Authors :
Lin، نويسنده , , Gao-Qun and Wu، نويسنده , , Yong Hong and Loxton، نويسنده , , Ryan، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2009
Abstract :
In this paper, we consider the Cauchy problem for a generalized Boussinesq equation. We show that, under suitable conditions, a global solution for the initial value problem exists. In addition, we derive the sufficient conditions for the blow-up of the solution to the problem.
Keywords :
Generalized Boussinesq equation , Cauchy problem , Solution blow-up , global existence , ground state
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications