On the decay in $W^{1,\infty }$ 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}…