Two-Term Spectral Asymptotics in Linear Elasticity

Matteo Capoferri; Leonid Friedlander; Michael Levitin; Dmitri Vassiliev

doi:10.1007/s12220-023-01269-y

Two-Term Spectral Asymptotics in Linear Elasticity

Matteo Capoferri, Leonid Friedlander, Michael Levitin, Dmitri Vassiliev

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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).

Original language	English (US)
Article number	242
Journal	Journal of Geometric Analysis
Volume	33
Issue number	8
DOIs	https://doi.org/10.1007/s12220-023-01269-y
State	Published - Aug 2023
Externally published	Yes

Keywords

Dirichlet conditions
Eigenvalue counting function
Elasticity
Free boundary conditions
Rayleigh waves

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s12220-023-01269-y

Cite this

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title = "Two-Term Spectral Asymptotics in Linear Elasticity",

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).",

keywords = "Dirichlet conditions, Eigenvalue counting function, Elasticity, Free boundary conditions, Rayleigh waves",

author = "Matteo Capoferri and Leonid Friedlander and Michael Levitin and Dmitri Vassiliev",

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AU - Capoferri, Matteo

AU - Friedlander, Leonid

AU - Levitin, Michael

AU - Vassiliev, Dmitri

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AB - 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).

KW - Dirichlet conditions

KW - Eigenvalue counting function

KW - Elasticity

KW - Free boundary conditions

KW - Rayleigh waves

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Two-Term Spectral Asymptotics in Linear Elasticity

Abstract

Keywords

ASJC Scopus subject areas

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