ABSTRACT AND APPLIED ANALYSIS, 2012 (SCI-Expanded)
We will give conditions which will guarantee the existence of global weak solutions of the Boussinesq-type equation with power-type nonlinearity gamma vertical bar u vertical bar(p) 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.