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The first real eigenvalue of a one-dimensional linear thermoelastic system

✍ Scribed by Bao Zhu Guo; Jin Cheng Chen

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
393 KB
Volume
38
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this note, we show, for a one-dimensional linear thermoelastic equation with Dirichlet-Dirichlet boundary conditions, that there is at least one real eigenwlue which is greater than the dominant eigenvalue of the "pure" heat equation with the same boundary conditions. The result concludes the spectrum-determined growth condition for the system by virtue of a result of Renaxdy [1]. Moreover, this property is shown to be preserved for the same system with boundary vibration control.

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