Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction


We establish, subject to some natural additional assumptions imposed on the relation between the source and the damping, both well-posedness and effective optimal decay rates for the solutions of a semilinear model of the wave equation. The theory presented allows to consider both superlinear and sublinear behaviours of the dissipation in the presence of unstructured sources. © 2007 Elsevier Inc. All rights reserved.

Publication Title

Journal of Differential Equations