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Polynomial stabiization of the wave equation with Ventcel's boundary conditions

✍ Scribed by Serge Nicaise; Karima Laoubi

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
136 KB
Volume
283
Category
Article
ISSN
0025-584X

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✦ Synopsis

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 the Fourier parameter l, we show a polynomial stability of this system (Β© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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