Maximal Regularity for Flexible Structural Systems in Lebesgue Spaces

We study abstract equations of the form λu′′′(t)+u′′(t)=c2Au(t)+c2μAu′(t)+f(t), 0<λ<μ which is motivated by the study of vibrations of flexible structures possessing internal material damping. We introduce the notion of (α;β;γ)-regularized families, which is a particular case of (a;k)-regulari...

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Bibliographic Details
Main Authors: Claudio Fernández, Carlos Lizama, Verónica Poblete
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2010/196956