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Energy decay estimates for the damped plate equation with a local degenerated dissipation

✍ Scribed by Rogelio Benavides Guzmán; Marius Tucsnak

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
142 KB
Volume
48
Category
Article
ISSN
0167-6911

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✦ Synopsis

We consider the Euler-Bernoulli plate equation in a bounded open set of R 2 with a degenerated local damping term. This dissipation is e ective in a subset ! of and the damping coe cient may vanish in some subset of dimension one of !. We show that the usual observability inequality for the undamped problem implies polynomial decay estimates for the damped problem. Our method can be applied for other PDE's such as the wave equation or the Schr odinger equation.

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