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Growth estimates in linear elasticity with a sublinear body force without definiteness conditions on the elasticities

Published online by Cambridge University Press:  20 January 2009

Franca Franchi
Franca Franchi
Affiliation:
Dipartimento di Matematica, Universita di BolognaPiazza di Porta S. Donato, 5 40127 Bologna—Italy
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In this paper, we study the boundary-initial value problem for a linear elastic body ina bounded domain, when the body force depends on the displacement vector u in asublinear way.

Recently, much attention has been given to nonlinear body forces not only to studythe fundamental solutions of the equations governing linear elastodynamics, see e.g.Kecs [3], but also to derive global non existence results in abstract problems with directapplications to nonlinear heat diffusion or to the nonlinear wave equation, see e.g. Ball[1], Levine and Payne [10].

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 27 , Issue 2 , June 1984 , pp. 223 - 228
Copyright
Copyright © Edinburgh Mathematical Society 1984

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