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A ONE-DIMENSIONAL WAVE EQUATION WITH NONLINEAR DAMPING

Published online by Cambridge University Press:  06 December 2006

STEFANIA GATTI
Affiliation:
Dipartimento di Matematica, Università di Ferrara, Via Machiavelli 35, I-44100 Ferrara, Italy e-mail: [email protected]
VITTORINO PATA
Affiliation:
Dipartimento di Matematica “F.Brioschi”, Politecnico di Milano, Via Bonardi 9, I-20133 Milano, Italy e-mail: [email protected]
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Abstract

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We consider a one-dimensional weakly damped wave equation, with a damping coefficient depending on the displacement. We prove the existence of a regular connected global attractor of finite fractal dimension for the associated dynamical system, as well as the existence of an exponential attractor.

Type
Research Article
Copyright
2006 Glasgow Mathematical Journal Trust