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.
Spectral asymptotics for linear elasticity: The case of mixed boundary conditions / M. Capoferri, I. Mann. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - (2024 May 24). [Epub ahead of print] [10.1017/prm.2024.65]
Spectral asymptotics for linear elasticity: The case of mixed boundary conditions
M. Capoferri
Primo
;
2024
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.
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