@article{328b991180004698afcb3c7417debaa4,
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 = "74J05, Rayleigh waves, Dirichlet conditions, Eigenvalue counting function, Elasticity, Free boundary conditions, Primary 35P20, Secondary 35Q74",
author = "Matteo Capoferri and Leonid Friedlander and Michael Levitin and Dmitri Vassiliev",
note = "Funding Information: MC was partially supported by a Leverhulme Trust Research Project Grant RPG-2019-240, by a Research Grant (Scheme 4) of the London Mathematical Society, and by a grant of the Heilbronn Institute for Mathematical Research (HIMR) via the UKRI/EPSRC Additional Funding Programme for Mathematical Sciences. ML was partially supported by the EPSRC grants EP/W006898/1 and EP/V051881/1 and by the University of Reading RETF Open Fund. All the support is gratefully acknowledged. Publisher Copyright: {\textcopyright} 2023, The Author(s).",
year = "2023",
month = aug,
doi = "10.1007/s12220-023-01269-y",
language = "English",
volume = "33",
journal = "Journal of Geometric Analysis",
issn = "1050-6926",
publisher = "Springer New York",
number = "8",
}