Electron. J. Diff. Eqns., Vol. 2003(2003), No. 100, pp. 1-7.

Global attractor for an equation modelling a thermostat

Rita de Cassia D. S. Broche, L. Augusto F. de Oliveira, & Antonio L. Pereira

Abstract:
In this work we show that the system considered by Guidotti and Merino in [2] as a model for a thermostat has a global attractor and, assuming that the parameter is small enough, the origin is globally asymptotically stable.

Submitted August 1, 2003. Published September 26, 2003.
Math Subject Classifications: 35B40, 35K60.
Key Words: Nonlocal boundary conditions, parabolic equations, attractors.

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Rita de Cassia D. S. Broche
Instituto de Matematica e Estatistica
Universidade de Sao Paulo
Sao Paulo, SP 05508-900, Brazil
e-mail: ritac@ime.usp.br
Luiz Augusto F. de Oliveira
Instituto de Matematica e Estatistica
Universidade de Sao Paulo
Sao Paulo, SP 05508-900, Brazil
e-mail: luizaug@ime.usp.br
Antonio L. Pereira
Instituto de Matematica e Estatistica
Universidade de Sao Paulo
Sao Paulo, SP 05508-900, Brazil
e-mail: alpereir@ime.usp.br

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