We will give conditions which will guarantee the existence of global weak solutions of the Boussinesq-type equation with power-type nonlinearity and supercritical initial energy. By defining new functionals and using potential well method, we readdressed the initial value problem of the Boussinesq-type equation for the supercritical initial energy case.
"On Global Solutions for the Cauchy Problem of a Boussinesq-Type Equation." Abstr. Appl. Anal. 2012 (SI18) 1 - 10, 2012. https://doi.org/10.1155/2012/535031