Initial boundary value problem for a strongly damped wave equation with a general nonlinearity
Initial boundary value problem for a strongly damped wave equation with a general nonlinearity
<p style='text-indent:20px;'>In this paper, a strongly damped semilinear wave equation with a general nonlinearity is considered. With the help of a newly constructed auxiliary functional and the concavity argument, a general finite time blow-up criterion is established for this problem. Furthermore, the lifespan of the weak solution is estimated from …