Blow-up and scattering of solution for a generalized Boussinesq equation
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摘要
In this paper, we consider the Cauchy problem for a class of Boussinesq equation. We obtain the existence and uniqueness of the local solutions. For a class of nonlinearity of the perturbation, blow-up solutions are obtained. Furthermore, the global existence and nonlinear scattering for small amplitude solutions are established.
论文关键词:Boussinesq equation,Blow-up,Existence,Scattering
论文评审过程:Available online 12 December 2006.
论文官网地址:https://doi.org/10.1016/j.amc.2006.10.061