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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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

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

First available in Project Euclid: 21 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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


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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