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 by Liu (J Geom Anal 31:10164–10193, 2021).
Two-term spectral asymptotics in linear elasticity / M. Capoferri, L. Friedlander, M. Levitin, D. Vassiliev. - In: THE JOURNAL OF GEOMETRIC ANALYSIS. - ISSN 1050-6926. - 33:8(2023), pp. 242.1-242.45. [10.1007/s12220-023-01269-y]
Two-term spectral asymptotics in linear elasticity
M. CapoferriPrimo
;
2023
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 by Liu (J Geom Anal 31:10164–10193, 2021).
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