$L^p$ asymptotic stability of 1D damped wave equation with nonlinear distributed damping

Yacine Chitour, Meryem Kafnemer, Patrick Martinez +1

In this paper, we study the one-dimensional wave equation with localized nonlinear damping and Dirichlet boundary conditions, in the $L^p$ framework, with $p\in [1,\infty )$. We sta…