Global Existence of Solutions for a Coupled Viscoelastic Plate Equation with Degenerate Damping Terms

Abstract

We investigate a viscoelastic plate nonlinear system with degenerate damping terms on a bounded domain Rn with Dirichlet boundary conditions. The nonlinearities f1(u; v) and f2(u; v) act as a strong source in the system. Under some restriction on the parameters in the system, we prove the global existence result of weak solution.