Browsing by Author "Poblete, Veronica"

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    Maximal Regularity for Flexible Structural Systems in Lebesgue Spaces
    (HINDAWI LTD, 2010) Fernandez, Claudio; Lizama, Carlos; Poblete, Veronica
    We study abstract equations of the form lambda u'''(t) + u"(t) = c(2) Au(t) + c(2)mu Au'(t) + f (t), 0 < lambda < mu which is motivated by the study of vibrations of flexible structures possessing internal material damping. We introduce the notion of (alpha;beta;gamma)-regularized families, which is a particular case of (a; k)-regularized families, and characterize maximal regularity in L-p-spaces based on the technique of Fourier multipliers. Finally, an application with the Dirichlet-Laplacian in a bounded smooth domain is given.
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    Regularity of solutions for a third order differential equation in Hilbert spaces
    (ELSEVIER SCIENCE INC, 2011) Fernandez, Claudio; Lizama, Carlos; Poblete, Veronica
    We study regularity of mild and strong solutions of an abstract mathematical model of a flexible space structure under appropriate initial conditions. We apply our results showing qualitative properties of the trajectories in the case of the negative Laplacian operator. (C) 2011 Elsevier Inc. All rights reserved.