Abstract
We establish two-term spectral asymptotics for the operator of linear elasticity with mixed boundary conditions on a smooth compact Riemannian manifold of arbitrary dimension. We illustrate our results by explicit examples in dimension two and three, thus verifying our general formulae both analytically and numerically.
| Original language | English |
|---|---|
| Pages (from-to) | 1-30 |
| Number of pages | 30 |
| Journal | Proceedings of the Royal Society of Edinburgh Section A: Mathematics |
| Early online date | 24 May 2024 |
| DOIs | |
| Publication status | E-pub ahead of print - 24 May 2024 |
Keywords
- elasticity
- eigenvalue counting function
- Dirichlet conditions
- free boundary conditions
- mixed boundary conditions