Two-Term Spectral Asymptotics in Linear Elasticity

The Journal of Geometric Analysis(2023)

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摘要
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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关键词
Elasticity,Eigenvalue counting function,Dirichlet conditions,Free boundary conditions,Rayleigh waves
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