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Exponential Decay in Thermoelastic Systems with Boundary Delay

Volume 2, Number 1 (2011), 1 - 13

Exponential Decay in Thermoelastic Systems with Boundary Delay

Communicated By: 
Alain Haraux
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Abstract

In this paper we consider a thermoelastic system with boundary delay. Under suitable assumption on the weight of the delay, we prove the well posedness of the system and use the energy method to show that the damping effect through heat conduction is still strong enough to uniformly stabilize the system even in the presence of boundary time delay.