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Spectral asymptotics for linear elasticity: the case of mixed boundary conditions
Part of
Matteo Capoferri, Isabel Mann
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Proceedings of the Royal Society of Edinburgh. Section A: Mathematics , First View

Published online by Cambridge University Press:

24 May 2024, pp. 1-30
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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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Spectral asymptotics for linear elasticity: the case of mixed boundary conditions