Blow-up in damped abstract nonlinear equations
Blow-up in damped abstract nonlinear equations
<p style='text-indent:20px;'>As a typical example of our analysis we consider a generalized Boussinesq equation, linearly damped and with a nonlinear source term. For any positive value of the initial energy, in particular for high energies, we give sufficient conditions on the initial data to conclude nonexistence of global solutions. We …