论文标题

线性弹性中的两项光谱渐近学

Two-term spectral asymptotics in linear elasticity

论文作者

Capoferri, Matteo, Friedlander, Leonid, Levitin, Michael, Vassiliev, Dmitri

论文摘要

我们在平滑的紧凑型riemannian歧管上,为线性弹性的边界价值问题建立了两项光谱渐近学。我们还提供了一些说明性的例子,并给出了该主题的历史概述。特别是,我们纠正了[J.地理。肛门。 31(2021),10164--10193]。

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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