Exponential decay and blow-up results for a viscoelastic wave equation
with strong damping and variable sources
AbstractThis work deals with a class of nonlinear viscoelastic wave equations
with strong damping and variable exponent sources. The main interest of
this paper compared to many previous works in the literature is able to
use the idea of potential well method to study both the finite time
blow-up for solutions starting from the unstable sets and decay estimate
for global solutions starting in the potential wells.