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A ONE-DIMENSIONAL WAVE EQUATION WITH NONLINEAR DAMPING
STEFANIA GATTI, VITTORINO PATA
Journal:

Glasgow Mathematical Journal / Volume 48 / Issue 3 / September 2006

Published online by Cambridge University Press:

06 December 2006, pp. 419-430

Print publication:

September 2006
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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.