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Well-posedness and asymptotic behaviour of a non-dissipative beam equation with a quotient space method

✍ Scribed by G. O'Dowd

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
162 KB
Volume
26
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

A beam equation model is studied, for which no suitable dissipative norm can be associated but only a semi‐norm, vanishing on some subspace. Considering a quotient by that subspace creates dissipativity which guarantees well posedness of this problem. Asymptotic behaviour is also obtained by using the quotient. The linear problem, involving high‐order multiplier is studied and then the non‐linear problem, thanks to the artificial problem method. Copyright © 2003 John Wiley & Sons, Ltd.

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