This paper is devoted to the study of a nonlinear Kirchhoff-Carrier wave
equation in an annular associated with nonhomogeneous Dirichlet conditions.
At first, by applying the Faedo-Galerkin, we prove existence and uniqueness
of the solution of the problem considered. Next, by constructing Lyapunov
functional, we prove a blow-up result for solutions with a negative initial
energy and establish a sufficient condition to obtain the exponential decay of
weak solutions.
Corrigendum to “Existence, blow-up and exponential decay estimates for a system of nonlinear wave equations with nonlinear boundary conditions” [Math Meth Appl Sci. 37 (4) (2014) 464-487. https://doi.org/10.1002/mma.2803]