Abstract and Applied Analysis
Volume 2012 (2012), Article ID 419717, 25 pages
Research Article

Asymptotic Energy Estimates for Nonlinear Petrovsky Plate Model Subject to Viscoelastic Damping

School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China

Received 1 July 2012; Accepted 16 September 2012

Academic Editor: Liming Ge

Copyright © 2012 Xiuli Lin and Fushan Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider the nonlinear Petrovsky plate model under the presence of long-time memory. Under suitable conditions, we show that the energy functional associated with the equation decays exponentially or polynomially to zero as time goes to infinity.