Electron. J. Diff. Equ., Vol. 2013 (2013), No. 52, pp. 1-16.

Boundary stabilization of memory-type thermoelastic systems

Muhammad I. Mustafa

In this article we consider an n-dimentional thermoelastic system with a viscoelastic damping localized on a part of the boundary. We establish an explicit and general decay rate result that allows a larger class of relaxation functions and generalizes previous results existing in the literature.

Submitted October 3, 2012. Published February 18, 2013.
Math Subject Classifications: 35B37, 35L55, 74D05, 93D15, 93d20.
Key Words: Thermoelasticity; viscoelastic damping; general decay; convexity.

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Muhammad I. Mustafa
King Fahd University of Petroleum and Minerals
Department of Mathematics and Statistics
P.O. Box 860, Dhahran 31261, Saudi Arabia
email: mmustafa@kfupm.edu.sa

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