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A note on well-posedness of the displacement problem in linear elastostatics

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Abstract

It is proved that thedisplacement problem of homogeneous linear elastostatics in exterior domains iswell-posed in the Hilbert space of all vector-valued functions having afinite Dirichlet integral, provided theelasticity tensor is strongly elliptic.

Sommario

Si dimonstrano dei teoremi dibuona posizione per ilproblema di posto dell'elastostatica lineare omogenea ed isotropa in domini esterai. Si ambienta il problema nello spazio di Hilbert costituito dalle funzioni vettoriali aventiintegrale di Dirichlet finito e si assume ehe iltensore elatico siafortemente ellittico.

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Authors and Affiliations

  1. Dipartimento di Matematica e Applicazioni dell'Università, via Mezzocannone, 8, 80134, Napoli, Italy

    Remigio Russo

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  1. Remigio Russo
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Russo, R. A note on well-posedness of the displacement problem in linear elastostatics. Journal of Applied Mathematics and Physics (ZAMP) 37, 924–930 (1986). https://doi.org/10.1007/BF00953682

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  • DOI: https://doi.org/10.1007/BF00953682

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