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Maximal Regularity for Flexible Structural Systems in Lebesgue Spaces

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  • Claudio Fernández
  • Carlos Lizama
  • Verónica Poblete

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.

Suggested Citation

  • Claudio Fernández & Carlos Lizama & Verónica Poblete, 2010. "Maximal Regularity for Flexible Structural Systems in Lebesgue Spaces," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-15, April.
    • Handle: RePEc:hin:jnlmpe:196956
    DOI: 10.1155/2010/196956
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