Spectral asymptotics for linear elasticity with mixed boundary conditions

In this note, we shall show that the two-term spectral asymptotics for the operator of linear elasticity with mixed boundary conditions which were given by Capoferri and Mann in {CaMa-24} essentially are old well-known results due to T. Branson, P. Gilkey, B. {}rsted and A. Pierzchalski in {BGOP}. In addition, we further point out that the so-called ``general formulae'' in {SaVa-97, CaFrLeVa-23} and the calculations for several examples in {CaMa-24, CaFrLeVa-23} are all wrong.