Mohammad Kafini
Abstract:
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.
Submitted March 3, 2010. Published May 17, 2010.
Math Subject Classifications: 35B05, 35L05, 35L15, 35L70.
Key Words: Decay; Cauchy problem; relaxation function; viscoelastic.
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Mohammad Kafini Department of Mathematics and Statistics KFUPM-DCC, Dhahran 31261, Saudi Arabia email: mkafini@kfupm.edu.sa |
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