Lower Bounds for Blow-up Time of Solutions for a Viscoelastic Wave Equation
The article studies the problem of blow-up in finite time for a class of viscoelastic wave equations.When the solution of the target equation blow up,accurately estimating the lower bound of the blow-up time is a key issue that needs to address.By em-ploying suitable energy mode estimation and defining auxiliary functions,we obtains the lower bound of the blow-up time of the so-lution to wave equations with viscoelastic terms.
auxiliary function methodenergy mode estimationnonlinear damping