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

Nicaise Serge | Zendy; Laoubi Karima | Zendy

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

Author(s) -

Nicaise Serge,

Laoubi Karima

Publication year - 2010

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200710162

Subject(s) - mathematics , polynomial , mathematical analysis , boundary value problem , boundary (topology) , fourier transform , wave equation , square (algebra) , plane (geometry) , stability (learning theory) , geometry , machine learning , computer science

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 (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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