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Zeitschrift für Analysis und ihre Anwendungen


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Volume 31, Issue 4, 2012, pp. 441–461
DOI: 10.4171/ZAA/1468

Published online: 2012-10-10

General Boundary Stabilization of Memory-Type Thermoelasticity with Second Sound

Salim A. Messaoudi[1] and Aisha Al-Shehri[2]

(1) King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
(2) Girls College, Dammam University, Saudi Arabia

In this paper we consider an $n$-dimensional system of visco-thermoelasticity with second sound, where a viscoelastic dissipation is acting on a part of the boundary. We prove some decay results for solutions with specific regular initial data. In this regard, polynomial and general decay results are established.

Keywords: Thermoelasticity, second sound, general decay, polynomial decay, relaxation function, boundary stabilization

Messaoudi Salim, Al-Shehri Aisha: General Boundary Stabilization of Memory-Type Thermoelasticity with Second Sound. Z. Anal. Anwend. 31 (2012), 441-461. doi: 10.4171/ZAA/1468