Remarks on paper "Two-term spectral asymptotics in linear elasticity''
Abstract
In this note, we shall point out that all ``numerically calculations'' and figures in CaFrLeVa-23 are wrong because these calculations are based on some incorrect formulas. Furthermore, by pointing out several serious errors in CaFrLeVa-23 and especially by Section 7, Proposition 7.1, Remarks 7.2--7.3, and Section 8 (a result of A. Pierzchalski and B. rsted) we show that the conclusions published by Matteo Capoferri, Leonid Friedlander, Michael Levitin and Dmitri Vassiliev (J Geom Anal (2023)33:242) as well as the main ``algorithm'' theory of the book SaVa-97 are completely wrong. Finally, we explain the correctness of proof of Theorem 1.1 in our paper Liu-21 by giving some remarks and putting the whole proof in Appendix (see also Liu-22b and Liu-22c).
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