2 papers
math.AP2020
On the decay in for the 1D semilinear damped wave equation on a bounded domain
Debora Amadori, Fatima Al-Zahrà Aqel
In this paper we study a semilinear wave equation with nonlinear, time-dependent damping in one space dimension. For this problem, we prove a well-posedness result in $W^{1,\infty}…
math.AP2018
Decay of approximate solutions for the damped semilinear wave equation on a bounded 1d domain
Debora Amadori, Fatima Al-Zahrà Aqel, Edda Dal Santo
In this paper we study the long time behavior for a semilinear wave equation with space-dependent and nonlinear damping term. After rewriting the equation as a first order system,…