Exponential decay of solutions to a fourth-order viscoelastic evolution equation in R^n

In this article, we consider a Cauchy problem for a viscoelastic wave equation of fourth order. Under suitable conditions on the initial data and the relaxation function, we show that the rate of decay is exponential.

Bibliographic Details
Main Author: Mohammad Kafini
Format: Article
Language:English
Published: Texas State University 2010-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/71/abstr.html