Two-term spectral asymptotics in linear elasticity

Matteo Capoferri, Leonid Friedlander, Michael Levitin, Dmitri Vassiliev

Research output: Working paperPreprint

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Motivated in part by the erroneous results in "Geometric invariants of spectrum of the Navier-Lam\'{e} operator" by Genqian Liu published in the Journal of Geometric Analysis 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.
Original languageEnglish
Publication statusPublished - 27 Jul 2022


  • math.SP
  • math.AP
  • math.DG
  • 35P20, 35Q74, 74J05


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