Wang, Yuzhu; Chen, Xiangying Existence and uniqueness of global solutions to a class of Boussinesq type equations. (Chinese. English summary) Zbl 1249.35057 Chin. Ann. Math., Ser. A 32, No. 5, 565-578 (2011). Summary: In this paper, the existence and uniqueness of global generalized solutions and global classical solutions to the Cauchy problem for a class of Boussinesq type equations of sixth order are proved. Some sufficient conditions of blow up of solutions to this Cauchy problem in finite time are also given. Cited in 3 Documents MSC: 35G25 Initial value problems for nonlinear higher-order PDEs 35L30 Initial value problems for higher-order hyperbolic equations Keywords:Boussinesq type equation; Cauchy problem; global solution; blow up PDFBibTeX XMLCite \textit{Y. Wang} and \textit{X. Chen}, Chin. Ann. Math., Ser. A 32, No. 5, 565--578 (2011; Zbl 1249.35057)