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Stabilization of the damped wave equation with Cauchy–Ventcel boundary conditions

✍ Scribed by Marcelo M. Cavalcanti; Valéria N. Domingos Cavalcanti; Ryuichi Fukuoka; Daniel Toundykov


Publisher
Springer
Year
2009
Tongue
English
Weight
693 KB
Volume
9
Category
Article
ISSN
1424-3199

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## Abstract We consider the wave equation on the unit square of the plane with Ventcel boundary conditions on a part of the boundary. It was shown by A. Heminna [8] that this problem is not exponentially stable. Here using a Fourier analysis and a careful analysis of the 1‐d problem with respect to