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Further results for a one-dimensional linear thermoelastic equation with Dirichlet-Dirichlet boundary conditions

Published online by Cambridge University Press:  17 February 2009

Bao Zhu Guo
Bao Zhu Guo
Affiliation:
Institute of Systems Science, Academy of Mathematics and System Sciences, Academia Sinica, Beijing 100080. China; e-mail: bzguo@iss03.iss.ac.cn
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Abstract

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We show that a sequence of generalized eigenfunctions of a one-dimensional linear thermoelastic system with Dirichiet-Dirichlet boundary conditions forms a Riesz basis for the state Hilbert space. This develops a parallel result for the same system with Dirichlet-Neumann or Neumann-Dirichlet boundary conditions.

Type
Research Article
Information
The ANZIAM Journal , Volume 43 , Issue 3 , January 2002 , pp. 449 - 462
Copyright
Copyright © Australian Mathematical Society 2002

References

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