2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172747In this paper we consider a multi-dimensional damped semiliear wave equation with dynamic boundary conditions, related to the Kelvin-Voigt damping. We firstly prove the local existence by using the Faedo-Galerkin approximations combined with a contraction mapping theorem. Secondly, the exponential growth of the energy and the $L^p$ norm of the solution is presented.Analysis of PDEs35L45, 35L70, 35B40Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditionstext