Differential and Integral Equations

Asymptotic behaviour of a thermoelastic plate of weakly hyperbolic type

Mauro Fabrizio, Barbara Lazzari, and Jaime E. Muñoz Rivera

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Abstract

An initial boundary value problem for a thermoelastic plate is considered. Results about existence, uniqueness and asymptotic stability of the solutions are obtained as a consequence of the dissipation properties of the material. By using suitable multiplicative techniques we show the exponential decay rate of the energy.

Article information

Source
Differential Integral Equations Volume 13, Number 10-12 (2000), 1347-1370.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356061129

Mathematical Reviews number (MathSciNet)
MR1787071

Zentralblatt MATH identifier
0980.74037

Subjects
Primary: 74H20: Existence of solutions
Secondary: 35Q72 74F05: Thermal effects 74H25: Uniqueness of solutions 74K20: Plates

Citation

Fabrizio, Mauro; Lazzari, Barbara; Muñoz Rivera, Jaime E. Asymptotic behaviour of a thermoelastic plate of weakly hyperbolic type. Differential Integral Equations 13 (2000), no. 10-12, 1347--1370. https://projecteuclid.org/euclid.die/1356061129.


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