Two-term spectral asymptotics in linear elasticity
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916205981335552 |
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| author | Capoferri, Matteo Friedlander, Leonid Levitin, Michael Vassiliev, Dmitri |
| author_facet | Capoferri, Matteo Friedlander, Leonid Levitin, Michael Vassiliev, Dmitri |
| contents | 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]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_13636 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Two-term spectral asymptotics in linear elasticity Capoferri, Matteo Friedlander, Leonid Levitin, Michael Vassiliev, Dmitri Spectral Theory Analysis of PDEs Differential Geometry 35P20, 35Q74, 74J05 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]. |
| title | Two-term spectral asymptotics in linear elasticity |
| topic | Spectral Theory Analysis of PDEs Differential Geometry 35P20, 35Q74, 74J05 |
| url | https://arxiv.org/abs/2207.13636 |