TY - JOUR T1 - Global Existence and Exponential Decay for a Nonlinear Viscoelastic Equation with Nonlinear Damping AU - Xiaosen Han JO - Journal of Partial Differential Equations VL - 4 SP - 299 EP - 314 PY - 2009 DA - 2009/11 SN - 22 DO - http://doi.org/10.4208/jpde.v22.n4.1 UR - https://global-sci.org/intro/article_detail/jpde/5259.html KW - Global existence KW - exponential decay KW - nonlinear viscoelastic equation AB -

In this paper we investigate a nonlinear viscoelastic equation with nonlinear damping. Global existence of weak solutions and uniform decay of the energy have been established. The Faedo-Galerkin method and the perturbed energy method are employed to obtain the results.