Two-Term Spectral Asymptotics in Linear Elasticity

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Author
Capoferri, M.
Friedlander, L.
Levitin, M.
Vassiliev, D.
Affiliation
Department of Mathematics, The University of Arizona
Issue Date
2023-05-13
Keywords
Dirichlet conditions
Eigenvalue counting function
Elasticity
Free boundary conditions
Rayleigh waves

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Publisher
Springer
Citation
Capoferri, M., Friedlander, L., Levitin, M. et al. Two-Term Spectral Asymptotics in Linear Elasticity. J Geom Anal 33, 242 (2023). https://doi.org/10.1007/s12220-023-01269-y
Journal
Journal of Geometric Analysis
Rights
© The Author(s) 2023. This article is licensed under a Creative Commons Attribution 4.0 International License.
Collection Information
This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.
Abstract
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). © 2023, The Author(s).
Note
Open access article
ISSN
1050-6926
DOI
10.1007/s12220-023-01269-y
Version
Final Published Version
Collections
© The Author(s) 2023. This article is licensed under a Creative Commons Attribution 4.0 International License.
Except where otherwise noted, this item's license is described as © The Author(s) 2023. This article is licensed under a Creative Commons Attribution 4.0 International License.