Further results for a one-dimensional linear thermoelastic equation with Dirichlet-Dirichlet boundary conditions-Reference-Cited by-同舟云学术

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

Published:2002-01 Issue:3 Volume:43 Page:449-462
ISSN:1446-1811
Container-title:The ANZIAM Journal
language:en
Short-container-title:ANZIAM J.

Author:

Guo Bao Zhu

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

Mathematics (miscellaneous)

Reference8 articles.

1. Stability and Stabilization of Infinite Dimensional Systems with Applications

2. On the essential spectrum of a semigroup of thermoelasticity

3. Riesz Basis Approach to the Stabilization of a Flexible Beam with a Tip Mass

4. On the Type of Certain Co-Semigroups

5. Asymptotic Behavior of the Eigenfrequency of a One-Dimensional Linear Thermoelastic System

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