TY - JOUR
T1 - Global Existence and Exponential Decay for a Nonlinear Viscoelastic Equation with Nonlinear Damping
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 - <p>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.</p>