Capoferri, Matteo;
Friedlander, Leonid;
Levitin, Michael;
Vassiliev, Dmitri;
(2023)
Two-term spectral asymptotics in linear elasticity.
arXiv: Ithaca, NY, USA.
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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 in [J. Geom. Anal. 31 (2021), 10164--10193].
| Type: | Working / discussion paper |
|---|---|
| Title: | Two-term spectral asymptotics in linear elasticity |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.48550/arXiv.2207.13636 |
| Publisher version: | https://doi.org/10.48550/arXiv.2207.13636 |
| Language: | English |
| Additional information: | Copyright © The Author 2023. This work is licensed under the terms of the Creative Commons Attribution 4.0 International (CC BY 4.0) Licence (https://creativecommons.org/licenses/by/4.0/). |
| 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.ucl.ac.uk/id/eprint/10167542 |
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