On Global Solutions for the Cauchy Problem of a Boussinesq-Type Equation

الملخص EN

We will give conditions which will guarantee the existence of global weak solutions of the Boussinesq-type equation with power-type nonlinearity γ|u|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.