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Two-term spectral asymptotics in linear elasticity

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Capoferri, M., Friedlander, L., Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 and Vassiliev, D. (2023) Two-term spectral asymptotics in linear elasticity. Journal of Geometric Analysis, 33 (8). 242. ISSN 1050-6926

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To link to this item DOI: 10.1007/s12220-023-01269-y

Abstract/Summary

We establish the two-term spectral asymptotics for boundary value problems of linear elasticity on a smooth compact Riemannian manifold of arbitrary dimension. We also present some illustrative examples and give a historical overview of the subject. In particular, we correct erroneous results published by Liu (J Geom Anal 31:10164–10193, 2021).

Item Type:Article
Refereed:Yes
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:111543
Uncontrolled Keywords:elasticity, eigenvalue counting function, Dirichlet conditions, free boundary conditions, Rayleigh waves
Publisher:Springer
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