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Two-term spectral asymptotics in linear elasticity

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Capoferri, M., Friedlander, L., Levitin, M. orcid id iconORCID: 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 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).

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Item Type Article
URI https://reading-clone.eprints-hosting.org/id/eprint/111543
Identification Number/DOI 10.1007/s12220-023-01269-y
Refereed Yes
Divisions Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Uncontrolled Keywords elasticity, eigenvalue counting function, Dirichlet conditions, free boundary conditions, Rayleigh waves
Publisher Springer
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