Maximal Regularity for Flexible Structural Systems in Lebesgue Spaces

Claudio Fernández, Carlos Lizama and Verónica Poblete

Mathematical Problems in Engineering, 2010, vol. 2010, 1-15

Abstract:

We study abstract equations of the form , which is motivated by the study of vibrations of flexible structures possessing internal material damping. We introduce the notion of -regularized families, which is a particular case of -regularized families, and characterize maximal regularity in -spaces based on the technique of Fourier multipliers. Finally, an application with the Dirichlet-Laplacian in a bounded smooth domain is given.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:196956

DOI: 10.1155/2010/196956

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