Mohammad Kafini
Abstract:
In this article we consider a Cauchy problem of a nonlinear viscoelastic
equation of order four. Under suitable conditions on the initial data
and the relaxation function, we prove polynomial and logarithmic decay of
solutions.
Submitted October 14, 2012. Published May 29, 2013.
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, Dhahran 31261, Saudi Arabia email: mkafini@kfupm.edu.sa |
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