Two-term spectral asymptotics in linear elasticity

Matteo Capoferri; Leonid Friedlander; Michael Levitin; Dmitri Vassiliev

doi:10.1007/s12220-023-01269-y

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arXiv · 2207.13636

Two-term spectral asymptotics in linear elasticity

Matteo Capoferri·Leonid Friedlander·Michael Levitin·Dmitri Vassiliev

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Abstract

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].

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Matteo Capoferri, Leonid Friedlander, Michael Levitin, Dmitri Vassiliev. 2022-07-27. Two-term spectral asymptotics in linear elasticity. https://doi.org/10.1007/s12220-023-01269-y

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