Spectral asymptotics for linear elasticity: the case of mixed boundary conditions
Spectral Theory
2026-03-18 v1 Mathematical Physics
Analysis of PDEs
Differential Geometry
math.MP
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.
Keywords
Cite
@article{arxiv.2311.18652,
title = {Spectral asymptotics for linear elasticity: the case of mixed boundary conditions},
author = {Matteo Capoferri and Isabel Mann},
journal= {arXiv preprint arXiv:2311.18652},
year = {2026}
}
Comments
27 pages