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Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 9
69
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Articles

Stability aspects in a nonsimple thermoelastic diffusion problem

Pages 1816-1828 | Received 21 Aug 2011, Accepted 04 Jun 2012, Published online: 29 Jun 2012
 

Abstract

In this article, we investigate the asymptotic behaviour of a one-dimensional problem of linear theory of nonsimple thermoelastic diffusion. We show that the corresponding semigroup is exponentially stable but not analytic. We conclude by showing the impossibility of localization in time of the solutions.

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