Capoferri, Matteo;
Friedlander, Leonid;
Levitin, Michael;
Vassiliev, Dmitri;
(2023)
Two-Term Spectral Asymptotics in Linear Elasticity.
The Journal of Geometric Analysis
, 33
(8)
, Article 242. 10.1007/s12220-023-01269-y.
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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).
| Type: | Article |
|---|---|
| Title: | Two-Term Spectral Asymptotics in Linear Elasticity |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s12220-023-01269-y |
| Publisher version: | http://doi.org/10.1007/s12220-023-01269-y |
| Language: | English |
| Additional information: | © The Author(s) 2023. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
| Keywords: | Elasticity, Eigenvalue counting function, Dirichlet conditions, Free boundary conditions, Rayleigh waves |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10170617 |
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