Two-Term Spectral Asymptotics in Linear Elasticity

Two-Term Spectral Asymptotics in Linear Elasticity
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DOI:
10.1007/s12220-023-01269-y
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发表时间:
2022-07
期刊:
The Journal of Geometric Analysis
影响因子:
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通讯作者:
Matteo Capoferri;L. Friedlander;M. Levitin;D. Vassiliev
Matteo Capoferri;L. Friedlander;M. Levitin;D. Vassiliev
中科院分区:
其他
文献类型:
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作者:
Matteo Capoferri;L. Friedlander;M. Levitin;D. Vassiliev

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建立了任意维光滑紧致黎曼流形上线性弹性力学边值问题的两项谱渐近性。我们还提出了一些说明性的例子,并给出一个历史的主题。特别是,我们纠正了刘(J Geom Anal 31:10164-10193,2021)发表的错误结果。
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).