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Original Articles

Mathematical models for the elastic beam with structural damping

Gabriella Di Blasio Dipartimento di Matematica, Università di Roma I, P.le A. Moro, Roma, 5-00185, ItalyView further author information

,

Karl Kunisch Institut für Mathematik, Technische Universität Graz, Kopernikusgasse, Graz, 24-A-8010, AustriaView further author information

&

Eugenio Sinestrari Dipartimento di Matematica, Università di Roma I, P.le A. Moro, Roma, 5 - 00185, ItalyView further author information

Abstract

In this paper the existence, regularity and sharp estimates for the solutions of an abstract second order evolution equation are proved and applications to models of a (possibly non homogeneous) elastic beam with a frequency-proportional damping are given.

Keywords:

AMS::

^∗This work of this author is partially supported by M.P.I. 40% Progetto:Equazioni di evoluzione e applicazioni fisico-matematiche.

^∗∗The work of this author was partially supported by the Fonds zür Förderung der wissenschaftlichen Forschung, Austria, S 3206.

^∗This work of this author is partially supported by M.P.I. 40% Progetto:Equazioni di evoluzione e applicazioni fisico-matematiche.

^∗This work of this author is partially supported by M.P.I. 40% Progetto:Equazioni di evoluzione e applicazioni fisico-matematiche.

^∗∗The work of this author was partially supported by the Fonds zür Förderung der wissenschaftlichen Forschung, Austria, S 3206.

^∗This work of this author is partially supported by M.P.I. 40% Progetto:Equazioni di evoluzione e applicazioni fisico-matematiche.

Notes

^∗This work of this author is partially supported by M.P.I. 40% Progetto:Equazioni di evoluzione e applicazioni fisico-matematiche.

^∗∗The work of this author was partially supported by the Fonds zür Förderung der wissenschaftlichen Forschung, Austria, S 3206.

^∗This work of this author is partially supported by M.P.I. 40% Progetto:Equazioni di evoluzione e applicazioni fisico-matematiche.

Additional information

Notes on contributors

Gabriella Di Blasio

(∗)

Karl Kunisch

(∗∗)

Eugenio Sinestrari

(∗)

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