On the decay in $ W^{1,\infty} $ for the 1D semilinear damped wave equation on a bounded domain
On the decay in $ W^{1,\infty} $ for the 1D semilinear damped wave equation on a bounded domain
<p style='text-indent:20px;'>In this paper we study a <inline-formula><tex-math id="M2">\begin{document}$ 2\times2 $\end{document}</tex-math></inline-formula> semilinear hyperbolic system of partial differential equations, which is related to a semilinear wave equation with nonlinear, time-dependent damping in one space dimension. For this problem, we prove a well-posedness result in <inline-formula><tex-math id="M3">\begin{document}$ L^\infty $\end{document}</tex-math></inline-formula> in the space-time …